which transformation of y = f(x) moves the graph 9 units to the left and 5 units down

Answers

Answer 1

Answer:

y=f(x+9)-5

Step-by-step explanation:

to move the graph 9 units to the left, you would need to add 9 to the variable (which is x) - so that transformation for y=f(x) would look like this:

y=f(x+9)

then, to move the graph 5 units down, you would need to subtract 5 from f(x), so the transformation for y=f(x) that moves the graph 5 units down would be:  

y=f(x)-5

now, you would put that all together and it would look like this:

y = f (x+9) -5

i hope this helps.


Related Questions

It’s due soon l don’t understand what to do

Answers

Answer:

38.4895

Step-by-step explanation:

area of circle = pi * r^2

3.142 * 7^2 = area of the whole circle

as we only have 1/4 of the circle we divide our area by 4

(3.142 *7^2) / 4 = 38.4895

Answer:

38.4895

Step-by-step explanation:

basically you are finding a quarter of the area of the circle. So the formula is 1/4πr^2

so that's 3.142×7^2 and then divided by 4.

hope this helps

HELP ASAP PLEASE

The table below shows the weights of Liam's pumpkin, l(w), and
Patricia's pumpkin, p(w), over a four-week period wherew represents
the number of weeks. Liam's pumpkin grows at a constant rate.
Patricia's pumpkin grows at a weekly rate of approximately 52%.
Assume the pumpkins continue to grow at these rates through week 13.
When comparing the weights of both Liam's and Patricia's pumpkins
in week 10 and week 13, which statement is true?
(1) Liam's pumpkin will weigh more in week 10 and week 13.
3) Patricia's pumpkin will weigh more in week 10 and week 13.
(3) Liam's pumpkin will weigh more in week 10, and Patricia's
pumpkin will weigh more in week 13.
4) Patricia's pumpkin will weigh more in week 10, and Liam's
pumpkin will weigh more in week 13.

Answers

Liam's pumpkin will weigh more in week 10, and Patricia's pumpkin will weigh more in week 13. Then the correct option is C.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The table below shows the weights of Liam's pumpkin, l(w), and Patricia's pumpkin, p(w), over a four-week period which represents the number of weeks.

Liam's pumpkin grows at a constant rate.

Patricia's pumpkin grows at a weekly rate of approximately 52%.

Let x be the number of the week and y be the weight in pounds.

The equation of Liam's pumpkin will be

[tex]\rm y - 2.4 = \dfrac{5.5-2.4}{7-6} (x- 6)\\\\y - 2.4 = 3.1(x- 6)\\\\y = 3.1x - 16.2[/tex]

Then the weight of Liam's pumpkin after 10 weeks will be

y = 3.1 × 10 - 16.2

y = 31 - 16.2

y = 14.8

Then the weight of Liam's pumpkin after 10 weeks will be

y = 3.1 × 13 - 16.2

y = 40.3 - 16.2

y = 24.1

The equation of Patricia's pumpkin will be

[tex]\rm y = a\times (1.52)^{x}[/tex]

For x = 6 and y = 2.5

Then

[tex]\rm 2.5 = a \times 1.52^6\\\\a \ \ = 0.203[/tex]

We have

[tex]\rm y = 0.203 \times (1.52)^{x}[/tex]

Then the weight of Patricia's pumpkin after 10 weeks will be

[tex]\rm y = 0.203 \times (1.52)^{10}\\\\y = 13.36[/tex]

Then the weight of Patricia's pumpkin after 13 weeks will be

[tex]\rm y = 0.203 \times (1.52)^{13}\\\\y = 46.93[/tex]

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0.8 cm

6 cm

Surface area of a cylinder

Answers

A=2πrh+2πr2

A≈34.18 if radius is .8

A≈256.35 if radius is 6

The image shows a circle with center (4,6) and radius 10 units.

Answers

Answer:

A, B, D, E

Step-by-step explanation:

Every point is on the circle except for the middle one

The points lying on the circle will be (-4, 12), (-6, 6), and (4, 16). Then the correct options are A, B, and E.

What is the equation of a circle?

Let r be the radius of the circle and the location of the center of the circle be (h, k). Then the equation of the circle is given as,

(x - h)² + (y - k)² = r²

The center is at (4, 6) and the radius is 10 units. Then the equation of the circle is calculated as,

(x - 4)² + (y - 6)² = 10²

(x - 4)² + (y - 6)² = 100             .......1

Substitute (-4, 12) in equation 1, then we have

(-4 - 4)² + (12 - 6)² = 100

100 = 100

Substitute (-6, 6) in equation 1, then we have

(-6 - 4)² + (6 - 6)² = 100

100 = 100

Substitute (13, 10) in equation 1, then we have

(13 - 4)² + (10 - 6)² = 100

97 ≠ 100

Substitute (-4, 12) in equation 1, then we have

(4 - 4)² + (16 - 6)² = 100

100 = 100

If the equation is satisfied, then the point lies on the circle.

More about the equation of the circle link is given below.

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hi people! so, i have a math dyslexia, this means i have a really hard time not only understanding math, but keeping up with all the problems and new stuff, could someone just give me an explanation of what algebra is in a way that you would describe it to a 5 year old?​

Answers

Answer:

Math with letters

Step-by-step explanation:

Algebra is just like normal math but instead of you knowing all the numbers there are some numbers you dont know and those are replaced with letters. letters are there to you can replace them with any number, or if given the right problem you might have to find out what number replaces the letter to give you the right answer. for example take 1+x=2 here x would be replaced with 1 to make this true. or take y=2-x+3 if you replace x with any number you want that changes the (y) value to give you anything you want. Also the letters can be any letter you want they dont mean anything just there as place holders for numbers.

7j+8s=455 what do j and s equal?

Answers

Answer:

[tex] \sf \: j= \frac{−8}{7}s+ \frac{445}{7} , \sf \: s= \frac{−7}{8}j+ \frac{445}{8} [/tex]

Step-by-step explanation:

[tex] \sf \: Let's solve for j. \\ \sf \: 7j+8s=445 \\ \sf \: Step 1: \: Add \: -8s \: to \: both \: s ides. \\ \sf \: 7j+8s+−8s=445+−8s \\ \sf \: 7j=−8s+445 \\ \sf \: Step \: 2: \: Divide \: both \: sides \: by \:7. \\ \sf \frac{7j}{7}= \frac{−8s+445}{7} \\ \sf \: j= \frac{−8}{7}s+ \frac{445}{7} \\[/tex]

Which construction uses the compass for only one step in addition to drawing the circle itself? an equilateral triangle inscribed in a circle a square inscribed in a circle a regular hexagon inscribed in a circle a diameter of a circle

Answers

The construction that uses the compass for only one step in addition to drawing the circle itself is A. an equilateral triangle inscribed in a circle.

What is a compass?

It should be noted that a compass simply means a device that's used to show cardinal directions. It's also used in mathematics to draw shapes.

In this case, the construction that uses the compass for only one step in addition to drawing the circle itself is an equilateral triangle inscribed in a circle.

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what unit is beat yo use in measuring the vulome of water in a rectangular pool?

Answers

Answer: An example is m³

Step-by-step explanation: Volume in a rectangular pool is length multiplied by width multiplied by height. Whatever the unit of these three parameters are, the volume will be raised to a cube. It it is metres, then volume will be m³

PLEASE HELP! 5TH GRADE MATH, PLEASE GIVE BRAINLIEST!

Answers

Answer: 1 divided by 7

Step-by-step explanation: fraction bar is equal to division

Answer:

C or D but mostly D because the fraction is 1 into 7 and D is dividing 1 into 7 so if correct please consider brainliest

<3

Step-by-step explanation:

HELPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

a. square pyramid b. sphere d.triangular pyramid

Answer:   a= Square Pyramid, b= Sphere, d= Triangular Pyramid

Step-by-step explanation:

It is recommended that people eat
20,000 mg of fiber each day. Julie ate a
cup of strawberries that had 4 grams of
fiber and a cup of oatmeal that had 5
grams of fiber. How many more grams of
fiber does she need to get the
recommended daily amount of fiber?

Answers

Answer:

First you have to convert MG to G, 1 Gram is equal to 1,000 Milligrams.  If Julie has eaten a total of 9 Grams of fiber, she would need to eat 11 Grams more to get her recommended amount of Fiber

Step-by-step explanation:

1. Convert Mg to G

2. Add the amount of Grams she has already eaten.

3. Subtract the sum from twenty and multiply the difference by 1,000.

One angle of a parallelogram measures 20 what are the measures of the other three angles in the parallelogram

Answers

Answer:

160°, 20° and 160°

[tex] \: [/tex]

Step-by-step explanation:

Let us assume A, B, C and D are the four angles of the parallelogram. Where, ∠A = 20° and we have to find the measure of ∠B, ∠C and ∠D

So, If ∠A = 20°, then So, also ∠C = 20°.

[Opposite angles of a parallelogram are equal to each other]

Therefore,

The measure of ∠C is 20°

And, ∠A and ∠B are adjacent angles. We know,

Sum of two adjacent angles = 180°

So,

⇒ ∠A + ∠B = 180°

⇒ 20° + ∠B = 180°

⇒ ∠B = 180° – 20°

∠B = 160°

So,

The measure of ∠B = 160°

So, If ∠B = 160°, then So, also ∠D = 160°.

[Opposite angles of a parallelogram are equal to each other]

Therefore,

The measure of ∠D is 160°

the length of the rectangle is 4cm more than it's width.if the perimeter is 20cm. find the width​

Answers

Answer:

  3 cm

Step-by-step explanation:

The given relation between length and width can be used in the perimeter formula to find the width.

__

Let w represent the width of the rectangle in centimeters. The length is 4 cm more, so can be represented by (w+4). Using these values and the given perimeter in the perimeter formula, we find ...

  P = 2(L +W) . . . . . perimeter formula

  20 = 2((w +4) +w) . . . . known values substituted

  10 = 2w +4 . . . . . . . . divide by 2, collect terms

  6 = 2w . . . . . . . . . subtract 4

  3 = w . . . . . . . . divide by 2

The width of the rectangle is 3 cm.

__

Additional comment

The length is 7 cm.

what is the answer ?

Answers

Answer:

19/60 or .317

Step-by-step explanation:

C = 95/300

95/300 = 19/60

19/60 = .317

.
Which of the following is the reciprocal 1/5 of ?How do I know if my answer is correct ? Please help me to solve this ! I really need help! Please heeeeelllllllpppppppp!

Answers

Answer:

5

Step-by-step explanation:

Repreical means opposite, so, 1/5 x 5 would equal one, thats a reciproal

Answer:

5

Step-by-step explanation:

The reciprocal of 1/5 would be 5. To find the reciprocal of a number, swap the numerator and the denominator.

A salad dressing is made by mixing oil and vinegar in the ratio 7:2. Joshua makes 900ml of salad dressing. How much oil does he use?
Give your answer in millilitres (ml)

Answers

The answer to this question is 700 ML

round answer to nearest hundreth

Answers

Answer:

10

Step-by-step explanation:

The captain of a riverboat cruise charges $36 per person. The cruise averages 300 customers a day. The captain is considering increasing the price. A survey indicates that for every $2 increase in price, there would be 10 fewer customers. What price would maximize revenue?

Answers

$6 should be ur answer hope this helps
or a anyway byyy

Maria is tracking weight progress.She weighed 125 pounds in March and now she is 115 pounds. What is the percent change of her weight?

Answers

Answer:

10%

Step-by-step explanation:

if she weight 125 and is 115 pounds now then the percentage would = 10% because 125 - 115 = 10%

If an investor has a $5,000 pretax return, the state tax rate is 4.5%, and the federal tax rate is 22.0%, what is the real investment value? $1,325 $3,675 $3,900 $4,775

Answers

Based on the given parameters, the real value of the investment is $3675

How to determine the value of the investment?

From the question, the given parameters about the investment are:

Pretax return = $5,000

State tax rate = 4.5%

Federal tax rate = 22.0%

The real value of the investment is calculated using the following formula

Real investment value = Pretax return - [(Pretax return * State tax rate) * Pretax return * Federal tax rate)]

Substitute the given values in the above equation.

Real investment value = 5000 - [(5000 * 4.5%) + (5000 * 22.0%)]

Evaluate the products

Real investment value = 5000 - [225 + 1100]

Evaluate the sum in the above equation

Real investment value = 5000 - 1325

Evaluate the difference in the above equation

Real investment value = 3675

Hence, the real value of the investment is $3675

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Answer:3675

Step-by-step explanation:

Pls help! I don’t understand bc I’m not smart-

Answers

Answer:

78.5 m²

Step-by-step explanation:

The formula to find the area of a quarter of a circle: [tex]\frac{1}{4} * \pi * r^{2}[/tex], where [tex]r[/tex] is the radius (diameter ÷ 2) and the [tex]\pi[/tex] is alterable.

1) Substitute the given values into the formula.

= [tex]\frac{1}{4} * 3.14 * 10^{2}[/tex]

2) Solve it.

= [tex]\frac{1}{4} * 314[/tex]

= 78.5

3) Round it off to the nearest tenth. In this case, it has already been rounded off.

Tiana lives 5/8 mile away from school. She walks halfway to school. How many
miles does she walk?

Answers

Answer:

5/16 mile

Step-by-step explanation:

5/8 * 1/2 = 5/16 mile

Sydney’s cat is 8% heavier than Greg’s cat, and Jackie’s cat is 25% lighter than Greg’s cat. By what percent is Sydney’s cat heavier than Jackie’s?

PLEASE HELP!!!

Answers

Answer:

look at the attached image

A surfer paddles out past breaking waves, rides a wave, paddles back out past the breaking waves, rides another wave back to the beach. Draw a sketch of a graph (with labels) that shows the surfer's possible distance from the beach over time. Show work

Answers

Answer:

Past the waves to the beach

Step-by-step explanation:

They never went past the breaking waves that much and started at the beach

Use the Pythagorean theorem to solve for d. Enter the answer in simplest form.
Need help ASAP!

Answers

Answer: 12 units

Step-by-step explanation:

    Since this is a "special" right triangle with congruent legs. We can multiply 6[tex]\sqrt{2}[/tex] by [tex]\sqrt{2}[/tex] to find the length of d.

   6[tex]\sqrt{2}[/tex] * [tex]\sqrt{2}[/tex] = 12

         d = 12

Answer:

d = 12

Step-by-step explanation:

multiply 6√2 by √2

since they are congruent angles (angles that have equal measure).

y = (3x)2 + 17
when x = 2

Answers

Answer:

y = 29

Step-by-step explanation:

y = (3x)2 + 17

y = (3(2))2 + 17

y = (6)2 + 17

y = 12 + 17

y = 29

∠A ≅ ∠ _____. .A m .B n .C c .D AB

Answers

Answer:

M

Step-by-step explanation:

Option A M is answers

I hope it helped you

A simple random sample is drawn from a normally distributed population, and when making a statistical inference about the population mean, the margin of error is found to be 5.9 at a 95% level of confidence. if the mean of the sample is 18.7, what is the 95% confidence interval for the population mean? 18.7 ± 5.9 18.7 ± 9.7 18.7 ± 11.6 18.7 ± 15.2

Answers

If the mean of the sample is 18.7, The 95% confidence interval for the population mean is 18.7 ± 11.6.

Confidence interval

z-score for 95% confidence interval =1.96

Lower limit of the interval:

Lower limit=Sample mean-(Z-score×Margin of error)

Lower limit=18.7-(1.96×5.9)

Lower limit=18.7-11.564

Lower limit=18.7-11.6 (Approximately)

Upper limit of the interval:

Upper limit=Sample mean+(Z-score×Margin of error)

Upper  limit=18.7+(1.96×5.9)

Upper  limit=18.7+11.564

Upperr limit=18.7+11.6 (Approximately)

Hence:

Confidence interval= 18.7 ± 11.6

Therefore the 95% confidence interval for the population mean is 18.7 ± 11.6.

Learn morer about confidence interval here:https://brainly.com/question/15712887

Answer:

18.7 ± 11.6

Step-by-step explanation:

The answer above is correct.

What two integers does sqrt41 fall between? explain reasoning

Answers

Answer:

Below!

Step-by-step explanation:

Given square root:

[tex]\sqrt41[/tex]

Let's note a few perfect square roots.

[tex]1 = \sqrt{1 \times 1} = \sqrt{1}[/tex]

[tex]2 = \sqrt{2 \times 2} = \sqrt{4}[/tex]

[tex]3 = \sqrt{3 \times 3} =\sqrt{9}[/tex]

[tex]4 = \sqrt{4 \times 4} =\sqrt{16}[/tex]

[tex]5 = \sqrt{5 \times 5} =\sqrt{25}[/tex]

[tex]6 = \sqrt{6 \times 6} =\sqrt{36}[/tex]

[tex]7 = \sqrt{7 \times 7} =\sqrt{49}[/tex]

[tex]8 = \sqrt{8 \times 8} =\sqrt{64}[/tex]

And so on...

When looking at the perfect square roots we identified, we can say that:

[tex]\sqrt{36} < \sqrt{41} < \sqrt{49}[/tex]

Therefore,

[tex]6 < \sqrt{41} < 7[/tex]

We can conclude that [tex]\sqrt{41}[/tex] is between 6 and 7.

Let's check the squares of first 10 number

1²=12²=43²=94²=165²=256²=367²=498²=649²=8110²=100

41 lies between 36 and 49

Hence

√41 lies in between 6 and 7

How many ways can Caroline choose 6 courses of any type? How many ways can Caroline choose 6 courses of any type?

Answers

Answer:

6 ways she can choose a course

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