Quiz about Transformations: Vertical and Horizontal Translation Review

Question 1

How did the function y=x+7 shift from y=x?

Accepted Answer

up 7

Answer

down 7

Answer

left 7

Answer

right 7

Question 2

Given f(x) = (x-3)² + 5. What transformations took place from the original function f(x)?

Accepted Answer

Right 3 and up 5

Answer

Left 3 and up 5

Answer

Right 3 and down 5

Answer

Left 3 and down 5

Question 3

The blue function is the original function f(x) = x³. Which of the following is the correct equation for the red function, g(x)?

Accepted Answer

g(x)=(x-1)³

Answer

g(x)=x3+1

Answer

g(x)=x3-1

Answer

g(x)=(x+1)³

Question 4

Name the parent function.

Accepted Answer

quadratic

Answer

linear

Answer

cubic

Answer

logarithmic

Question 5

Name the parent function.

Accepted Answer

absolute value

Answer

linear

Answer

quadratic

Answer

cubic

Question 6

Describe the transformations of f(x) when compared to the parent function.
f(x)=(x+7)²

Accepted Answer

horizontal shift left 7 units

Answer

horizontal shift right 7 units

Answer

vertical shift up 7 units

Answer

vertical shift down 7 units

Question 7

Match the equation to its description.

Accepted Answer

Right 2 and up 2

Answer

Left 2 and up 2

Answer

Right 2 and down 2

Answer

Left 2 and down 2

Question 8

How did the function y=x+7 shift from the parent function?

Accepted Answer

up 7

Answer

down 7

Answer

left 7

Answer

right 7

Question 9

What is the equation of the graph below?

Accepted Answer

f(x) = I x - 2 I

Answer

f(x) = I x + 2 I

Answer

f(x) = I x + 2 I +2

Answer

f(x) = I x - 2 I +2

Question 10

Which equation describes the transformation of shifting f(x)=x² two units right?

Accepted Answer

(x - 2)2

Answer

x2 + 2

Answer

x2 - 2

Answer

(x + 2)2

Question 11

Which transformation transforms the graph of
f(x) = x² to the graph of
g(x) = (x + 4)²?

Accepted Answer

a horizontal translation 4 units to the left

Answer

a vertical translation 4 units up

Answer

a vertical translation 4 units down

Answer

a horizontal translation 4 units to the right

Question 12

What is the parent function for a Quadratic equation?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

y=x

Question 13

Left 4 and up 7

Accepted Answer

y = |x + 4| + 7

Answer

y = (x - 4)² + 7

Answer

y = (x + 7)² - 4

Answer

y = |x + 4| - 7

Question 14

What is the parent function for an absolute value function?

Accepted Answer

f(x)=IxI

Answer

f(x)=x3

Answer

f(x)=x

Answer

f(x)=x2

Question 15

What is the parent function for a cubic function?

Accepted Answer

f(x)=x3

Answer

f(x)=x

Answer

f(x)=IxI

Answer

f(x)=x2

Question 16

Describe the transformation that is applied to the parent function.
f(x) = IxI -5

Accepted Answer

Shifts down 5

Answer

Shifts left 5

Answer

Shifts right 5

Answer

Shifts up 5

Question 17

Which equation below is a quadratic function translated left 4 units?

Accepted Answer

y = (x + 4)²

Answer

y = x² + 4

Answer

y = (x - 4)²

Answer

y = 4x2

Question 18

Which transformation transforms the graph of
f(x) = x² to the graph of
g(x) = (x + 4)²?

Accepted Answer

a horizontal translation 4 units to the left

Answer

a vertical translation 4 units up

Answer

a vertical translation 4 units down

Answer

a horizontal translation 4 units to the right

Question 19

Given f(x) = (x+2)² - 5. What transformations took place from the original function f(x)?

Accepted Answer

Left 2 and down 5

Answer

Left 2 and up 5

Answer

Right 2 and down 5

Answer

Right 2 and up 5

Transformations: Vertical and Horizontal Translation Review

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