Parent Functions and Their Transformation

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

• f(x) = (x - 2)² - 1

• f(x) = (x + 2)² - 1

• f(x) = -(x + 2)² - 1

• f(x) = -(x - 2)² - 1

What is the equation of the graph below?

• f(x ) = I x + 4 I + 2

• f(x ) = -I x - 4 I + 2

• f(x ) = I x - 4 I + 2

• f(x ) = -I x + 4 I + 2

Name the parent function.

• linear

• quadratic

• absolute value

• cubic

What is the parent function for a cubic function?

• f(x)=x³

• f(x)=x

• f(x)=IxI

• f(x)=x²

If the blue parabola is f(x) = x^2, then the red must be:

• g(x)= (x + 3)²

• g(x) = (x - 3)²

• g(x) = x² + 3

• g(x) = x² - 2

Which parent function matches the graph?

• y = |x|

• y = x

• y = x²

• y = 2^x

Name the parent function.

• linear

• quadratic

• cube root

• cubic

Name the parent function. 

• constant

• square root

• linear

• absolute value

What type of function is shown?

• cube root

• square root

• logarithm

• exponential

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

• y = |x - 5|

• y = |x + 5|

• y = |x| + 5

• y = -5|x|