Quiz about parent functions and transformations

Question 1

Which parent function matches the graph?

Accepted Answer

y = x2

Answer

y = |x|

Answer

y = x

Answer

y = 2x

Question 2

What type of function is shown?

Accepted Answer

linear

Answer

absolute value

Answer

quadratic

Answer

exponential

Question 3

What type of function is shown?

Accepted Answer

absolute value

Answer

linear

Answer

quadratic

Answer

square root

Question 4

Name the parent function.

Accepted Answer

cubic

Answer

linear

Answer

quadratic

Answer

cube root

Question 5

Name the parent function.

Accepted Answer

absolute value

Answer

constant

Answer

square root

Answer

linear

Question 6

Which equation below is a quadratic function translated up 5 units?

Accepted Answer

y = x² + 5

Answer

y = (x + 5)²

Answer

y = 5x2

Answer

y = -x² - 5

Question 7

What type of function is shown?

Accepted Answer

square root

Answer

cube root

Answer

logarithm

Answer

exponential

Question 8

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 9

Which equation is a quadratic function reflected over the x-axis and shifted up 2.

Accepted Answer

y = -x² + 2

Answer

y = x² + 2

Answer

y = x² - 2

Answer

y = -(x + 2)²

Question 10

Describe the transformation

Accepted Answer

right 2 up 5

Answer

left 2 up 5

Answer

left 2 down 5

Answer

right 2 down 5

Question 11

Which equation is an absolute value graph shifted right 5 units?

Accepted Answer

y = |x - 5|

Answer

y = |x + 5|

Answer

y = |x| + 5

Answer

y = -5|x|

Question 12

Tell how the graph transformed.
y = (x - 3)²

Accepted Answer

Translated right 3

Answer

Translated left 3

Answer

Translated up 3

Answer

Translated down 9

Question 13

Describe the transformation.

Accepted Answer

left 3

Answer

up 3

Answer

down 3

Answer

right 3

Question 14

What is the equation to this graph?

Accepted Answer

f(x)= Ix+2I +1

Answer

f(x)= Ix-2I +1

Answer

f(x)= Ix+2I -1

Answer

f(x)= Ix-2I -1

Question 15

Which transformation on

f(x) = x

is g(x) = -f(x)

Accepted Answer

Reflection across the x-axis.

Answer

Reflection across the y-axis

Answer

The slope will be less steep

Answer

The graph will be wider

Question 16

Which transformation will occur if f(x) = x is replaced with f(x) + 2?

Accepted Answer

Vertical translation up by 2 units.

Answer

Translation left 2 units

Answer

Translation right 2 units

Answer

Reflection across the x-axis.

Question 17

How did the equation shift from the parent function? y = f(x - 4)

Accepted Answer

Shift right by 4

Answer

Shift left by 4

Answer

Horizontal Stretch by 4

Answer

Vertical Stretch by 4

Answer

Shift down by 4

Question 18

Which equation transforms f(x) = x to a horizontal stretch by a factor of 2, a reflection over the x axis, and a shift down 4?

Accepted Answer

-f(1/2x) - 4

Answer

f(-2x - 4)

Answer

f(-1/2x) - 4

Answer

-f(2x) - 4

Question 19

Which of the following is the correct equation for the given graph?

Accepted Answer

f(x) = (x + 2)² - 1

Answer

f(x) = (x - 2)² - 1

Answer

f(x) = -(x + 2)² - 1

Answer

f(x) = -(x - 2)² - 1

parent functions and transformations

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