What will the equation be if f(x)= x^2 is translated 6 units left and 3 units up?

Answers

Answer 1

Answer:

(x+6)^2+3

Step-by-step explanation:

translate 6 left

left is negative

so (x+6)^2. it is + because the x goes in the opposite direction causing (x-6)^2 to go right

and 3 units up so add x by 3 to get (x+6)^2+3

Answer 2

Answer:

g(x) = (x + 6)² + 3

Step-by-step explanation:

To move horizontally replace each x with (x ± c)

if you move it to the right, you need x - c

if you move it to the left , you need x + c

Since we are moving to the left 6, we will have: g(x) = x² + 6

To move up or down, add or subtract the constant equal to the units moved, so to move it up 3 would give us:

g(x) = (x + 6)² + 3

A graph is below for further conformation.

hope this helps!

What Will The Equation Be If F(x)= X^2 Is Translated 6 Units Left And 3 Units Up?

Related Questions

What is the solution to the system of equation?

Answers

Answer:

(0, -4)

Step-by-step explanation:

The solution to the system is the point that is on both lines. It is where the lines intersect (cross). They intersect at the point (0, -4)

Which function’s graph is shown below?

Answers

[tex]\bold{ANSWER:}[/tex]
y = sin x

[tex]\bold{GRAPH:}[/tex]

Which picture shows the inverse, f −1, of the function shown?

Domain: 8, 10, 12. Range: 6, 9, 3. 8 goes to 6; 10 goes to 9; 12 goes to 3.
CLEAR CHECK

Inverse of f. Domain: 8, 10, 12. Range: negative 6, negative 9, negative 3. 8 goes to negative 6; 10 goes to negative 9; 12 goes to negative 3.

Inverse of f. Domain: 6, 9, 3. Range: one-eighth, one-tenth, one-twelfth. 6 goes to one-eighth, 9 goes to one-tenth; 3 goes to one-twelfth.

Inverse of f. Domain: 8, 10, 12. Range: one-sixth, one-ninth, one-third. 8 goes to one-sixth; 10 goes to one-ninth; 12 goes to one-third.

Inverse of f. Domain: 6, 9, 3. Range: 8, 10, 12. 6 goes to 8; 9 goes to 10; 3 goes to 12.

Answers

Answer:

  (d)  Inverse of f. Domain: 6, 9, 3. Range: 8, 10, 12. 6 goes to 8; 9 goes to 10; 3 goes to 12.

Step-by-step explanation:

Apparently function f is defined by the ordered pairs (8, 6), (10, 9), (12, 3).

The inverse function will be defined by the ordered pairs with the input and output reversed:

  (6, 8), (10, 9), (3, 12)

This seems to be described by the last answer choice.

helpppppppppppppppppppllssssssssssssssssss​

Answers

the answer is vertical angles
It is vertical angles! Have a good day

Keisha makes individual servings of nuts by dividing 4 1/2 cups of nuts into individualcup servingsHow many individual 3 8 . servings can Keisha make?Show work

Answers

Answer:

4 1/2 = 9/2 

Dividing 9/2 by 3/8,

9/2 x 8/3 = 72/6 = 12

Therefore, Keisha made 12 individual servings.

Amy works and is paid by the hour. Her sister Jo helps her work. As shown in the table identify the independent and dependent ( first gets some!)

Answers

Answer:

The dependent variable is Amy's pay

The independent variable is Jo's pay

Step-by-step explanation:

Depending on how much Amy gets paid, Jo gets 20% of it.

The Pyramid of Menkaure is a square pyramid located in Giza. The pyramid has a height of about 215 feet, a slant height of about 274 feet, and a base side length of about 339 feet. After a windstorm, an architect was tasked with inspecting the outer surfaces of the pyramid for damage. How many square feet does the architect need to inspect? Type the correct answer in the box. Use numerals instead of words. The architect will need to inspect square feet

Answers

Answer:

The architect will need to inspect 185,772 square feet.

Step-by-step explanation:

The square feet the architect must inspect represents the lateral surface area of the square pyramid. Since the base of the pyramid is a regular polygon, a square, then the given formula can be used. Let P be the perimeter of the base and l be the slant height of 274 feet.

Find the perimeter of the base by multiplying the length of a side, 339 feet, by the number of sides of the base, 4.

So, the architect will need to inspect 185,772 square feet of the pyram

The total of 109327.5 feet² of the square area the architect needs to inspect.

What is a triangle?

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

There are many types of triangles such that right angle triangle, equilateral triangle, and much more.

A pyramid consists of 3 equal triangles given that the vertical height of a triangle is 215 feet, and the base is 339 feet.

Area of one triangle =  (1/2) × base × height.

⇒ (1/2)  × 339 × 215

36442.5

Since in a pyramid, there are a total 3 triangles so

Total surface area = 3 × surface area of 1 triangle.

Total surface area = 3 × 36442.5 = 109327.5 hence correct answer will be 36442.5.

For more about triangles,

https://brainly.com/question/2773823

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A $35 item is marked down 25%. What is the new price?

Answers

Answer:

$26.25

Step-by-step explanation:

35*.25 is 8.75

35-8.75=$26.25

Kavya is surveying how seventh-grade students get to school. In her first-
period class, 10 out of 32 students ride the bus to school. There are 160
students in seventh grade. Based on her survey, how many seventh-grade
students can she predict ride the bus to school?
• A. 40
B. 138
• C. 50
• D. 512

Please help I’ll give brainlist to the first person to answer and the answer is correct please help!! Fast hurry!!!

Answers

The answer is 50
160:32=5
10 x 5 =50

There are 50 seventh-grade students who can she predict riding the bus to school.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

The unitary method is a method by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

We are given that first-period class, 10 out of 32 students ride the bus to school. There are 160 students in seventh grade.

Therefore, we have;

160/32=5

10 x 5 =50

Thus, the answer is 50

Learn more about the unitary method, please visit the link given below;

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I need help with 15.) 17.) and 19.) I have attached the answers I just need help with how to solve them

Answers

Answer:

Step-by-step explanation:

They are all solved kind of the same way. If the vertex of the angle is outside of the circle, subtract the intercepted arcs and divide by 2

for 15) one arc is marked but you can figure out the other arc because there are 360 degrees in a circle  360 - 102 = 258. So the two arcs are 102 degrees and 258 degrees.

some of the problems you can set up the equation and solve.

17) 63 = {(360-x) - x} /2     multiply by 2

126 = {(360-x) - x}     combine like terms

126 = 360 - 2x           subtract 360

-234 = -2x                   divide by -2

117 = x

? = 117 degrees

good luck

Dennis drew the line of best fit on the scatter plot shown below:

What is the approximate equation of this line of best fit in slope-intercept form?
y = −15x + 2/3
y = -2/3 x + 15
y = −15x + 3/2
y = -3/2 x + 15

Answers

Answer:

4th option

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 12) and (x₂, y₂ ) = (6, 6) ← 2 points on the line

m = [tex]\frac{6-12}{6-2}[/tex] = [tex]\frac{-6}{4}[/tex] = - [tex]\frac{3}{2}[/tex]

the line crosses the y- axis at (0, 15 ) ⇒ c = 15

y = - [tex]\frac{3}{2}[/tex] x + 15 ← approximate equation of line of best fit

PLEASE HELP
Find AB,. Round to the nearest tenth.

Answers

Answer:

11.6

Step-by-step explanation:

11.64 without rounding. since the 2nd decimal is below 5, we round down to 0. 11.60, or just 11.6 :) hope this helps!

Find an ordered pair that is a solution to the equation.

Answers

Answer:

[tex](x,y) = (4,1)[/tex]

Step-by-step explanation:

[tex]-4+5\cdot 1 = 5-4 =1[/tex]

Answer:

(2, 3/5)

Step-by-step explanation:

Step 1. Rewrite as slope-intercept form, y = mx + b (OPTIONAL)

-x + 5y = 1

5y = x + 1

y = 1/5x + 1/5

Step 2. Pick an x value, then sub for y

x = 2

y = 1/5(2) + 1/5

y = 2/5 + 1/5

y = 3/5

Ordered pair: (2, 3/5)

God bless!

A certain circle can be represented by the following equation. x^2+y^2+16x-14y+49=0x 2 +y 2 +16x−14y+49=0x, squared, plus, y, squared, plus, 16, x, minus, 14, y, plus, 49, equals, 0 What is the center of this circle ? ((left parenthesis ,,comma ))right parenthesis What is the radius of this circle ? units

Answers

Answer:

center = (-8, 7)

radius = 8 units

Step-by-step explanation:

Equation of a circle: [tex](x-h)^2+(y-k)^2=r^2[/tex]

(where (h, k) is the center of the circle and r is the radius)

Rewrite the given equation:

[tex]x^2+y^2+16x-14y+49=0[/tex]

[tex]\implies x^2+16x+y^2-14y+49=0[/tex]

[tex]\implies (x+8)^2-64+(y-7)^2-49+49=0[/tex]

[tex]\implies (x+8)^2+(y-7)^2=64[/tex]

Therefore:

center = (-8, 7)radius:  [tex]r^2=64 \implies r=\sqrt{64} =8[/tex]

Answer:

The circle is centered at (8,0)

The circle has a radius of 10 units.

Step-by-step explanation:

trust

The graph of a function is a transformation of the graph of its parent function in which the graph is
vertically stretched by a factor of 2;
shifted left 3 units; and
shifted up 2 units.
write an equation for the function.

Answers

Answer:

f(x) = 2(x+3)+2

Step-by-step explanation:

Owen is going on a multi-day hike up a large mountain. He wants to know what clothes he should bring for the higher elevation as he hikes. What clothes should Owen bring?

Answers

Answer:

Owen should wear thick, layered clothing thats will keep him warm

Example:Jackets,sweaters,heavy socks, gloves, benies, Balaclavas...ect

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Heavier Clothes, Since, The higher elevation will have cooler tem

Groceries R Us is selling 8 apples for $2.80.

Food Galore is selling 6 apples for $2.16.

Shop Here is selling 4 apples for $1.42.


Find their unit rates. Which store has the best deal?

Answers

Answer:

Groceries R Us

Step-by-step explanation:

i dont know how to explain lol

Ming was planning a trip to western smaoa be fore she was going she did some research and learned that the exchange rate is 6 tala for 2$ how many tala would she get if she exchanged 6$

Answers

Answer:

  18 tala

Step-by-step explanation:

The exchange is proportional, so the number of tala Ming receives will be proportional to the number of dollars she exchanges.

  x / ($6) = 6 tala / ($2)

__

Multiplying by $6, we have ...

  x = (6 tala)($6/$2) = 18 tala

Ming would get 18 tala when exchanging $6.

name the 3d shape formed by each net.

Answers

Answer:

1. Rectangular Prism

2. Cylinder

3. Triangular Pyramid

4. Triangular Prism

5. Cone

6 Rectangular Pyramid

Find the missing side lengths. Leave your answers as radicals in simplest form.

Answers

Answer:

B  x = 3, y= 3

Step-by-step explanation:

Trigonometric ratios

[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]

where:

[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleH is the hypotenuse (the side opposite the right angle)

Given:

[tex]\theta[/tex] = 45°O = [tex]x[/tex]A = [tex]y[/tex]H = [tex]3\sqrt{2}[/tex]

[tex]\implies \sin(45^{\circ})=\dfrac{x}{3\sqrt{2}}[/tex]

[tex]\implies x=3\sqrt{2}\sin(45^{\circ})[/tex]

[tex]\implies x=3\sqrt{2} \cdot \dfrac{\sqrt{2}}{2}[/tex]

[tex]\implies x=\dfrac{3\sqrt{2} \sqrt{2}}{2}[/tex]

[tex]\implies x=\dfrac{3 \cdot 2}{2}=3[/tex]

[tex]\implies \cos(45^{\circ})=\dfrac{y}{3\sqrt{2}}[/tex]

[tex]\implies y=3\sqrt{2}\cos(45^{\circ})[/tex]

[tex]\implies y=3\sqrt{2} \cdot \dfrac{\sqrt{2}}{2}[/tex]

[tex]\implies y=\dfrac{3\sqrt{2} \sqrt{2}}{2}[/tex]

[tex]\implies y=\dfrac{3 \cdot 2}{2}=3[/tex]

6.4r−7−2.9r simplified is

Answers

Answer:

3.7r -7

Step-by-step explanation:

Basically you would subtract 6.4 and 2.9 because there is a negative sign and they have the same variable. Then you would put it (2.9r)first since it is in order and you can't combine 7 and 2.9r so you leave it like that.

Find the perimeter of the triangle .

Answers

Answer:

P = 9x + 22

Step-by-step explanation:

Perimeter = sum of all sides

P = (3x + 11) + (3x + 11) + (3x)

P = 9x + 22

I hope this helps! God bless

What is 18.5% of 500?
9.25
92.5
925
0.925

Answers

Answer:

92.5

Step-by-step explanation:

[tex]\frac{18.5}{100} = \frac{x}{500}[/tex]

cross multiply:

18.5 · 500 = 9250

100 · x = 100x

isolate x by dividing 100 from both sides:

x = 92.5

hope this helps!

18.5% × 500 = 92.5
Please mark as brainliest!

what is the expression to (4×+3)+(-2×+4)

Answers

Answer:

4x(3-2)

Step-by-step explanation:

since in 2 groups, there are number 4 in common

Apply Distributive Law to achieve this.

At what rate per cent per annum will $400 yield an interest of $78 in 1 1/2 years?

Answers

Use language that's easy-to-understand. If there's a piece of vocabulary that you feel needs clarifying, define it!   23

Step-by-step explanation:

Darlene picked 7 apples. Juan picked 4 times as many as Darlene. How many apples did Juan pick?



What equation represents this situation?

Group of answer choices

7*4=a

7-4=a

a-7=4

a*4=7

Good luck

Answers

Answer:

ok, i think this would be.....a.

Step-by-step explanation: so i know 7x4=28  so 7*4=a    makes sense  cause a = 28

have a nice day

8. (3x-5) mZS = 0 MZR = Р T con A (117 Bux+5)* S

Answers

Answer:

95°, 110°

Step-by-step explanation:

Since we're dealing with a cyclic quadrilateral ,

m<T + m<R 180°

7y + 11y = 180°

18y = 180°

y = 10°

Also,

m<S + m<U = 180°

3x+5+3x-5= 180°

6x = 180°

x = 30°

m<S = 3x+5 = 3(30)+5

= 95°

m<R = 11y = 11(10)

= 110°

Given -

m∠R = (11y)°m∠S = (3x + 5)°m∠T = (7y)°m∠U = (3x - 5)°

To find -

m∠Rm∠S

(nullifying x and y)

Explanation -

As we know this is a cyclic quadrilateral and it's either pair of the opposite angles sum up to 180°.

Therefore,

m∠S + m∠U = 180° ---(1)

m∠R + m∠T = 180° ---(2)

Solution -

Substituting the values of the measure of angles in (1)

➜ m∠S + m∠U = 180°

➜ (3x + 5)° + (3x - 5)° = 180°

➜ 6x = 180°

➜ x = 180/6

➜ x = 30

Therefore, m∠S = (3x + 5)° = {3(30)+5}° = (90+5)°

m∠S = 95°

Substituting the values of the measure of angles in (2)

➜ m∠R + m∠T = 180°

➜ (11y)° + (7y)° = 180°

➜ 18y = 180°

➜ y = 180/18

➜ y = 10

Therefore, m∠R = (11y)° = (11×10)° = 110°

Pls and help me with this !!!

Answers

Answer:

#20 is -20

#21 is -3

#22 is 36

A bus travels two different routes: the Green Route and the Blue Route.
•On Monday the bus traveled the Green Route 6 times and the Blue Route 5 times, traveling a total of 52 miles.
• On Tuesday the bus traveled the Green Route 12 times and the Blue Route 13 times, traveling a total of 119 miles.
What is the length of the Green Route in miles?

Answers

Answer:4.5

Step-by-step explanation: Check the file for my explanation

Our sense of smell is responsible for ___ of our overall chocolate tasting experience. Group of answer choices 10% 30% 50% 70%

Answers

Answer:

70%

Step-by-step explanation:

Our sense of smell is responsible for 70% of our overall chocolate tasting experience.

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