Function Families and Transformations Practice

What is the parent function of the function below?

 $f\left(x\right)=-2x^2-1$  

• quadratic

• cubic

• absolute value

• square root

What is the parent function of the function below?

 $f\left(x\right)=\left|x-1\right|$  

• quadratic

• rational

• absolute value

• linear

Tags

CCSS.HSF.IF.A.1

What is the parent function of the function below?

 $f\left(x\right)=\frac{1}{2}\left(x-3\right)^3$  

• linear

• quadratic

• absolute value

• cubic

Which family does this graph belong to?

• absolute value

• quadratic

• linear

• square root

• rational

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

Which family does this graph belong to?

• absolute value

• quadratic

• linear

• square root

• rational

Tags

CCSS.HSF-IF.C.7D

Which function families have a VERTEX?

Select all correct answers.

• cubic

• quadratic

• linear

• square root

• absolute value

What is the domain of the graph shown?

• $x\ge-1$

• $x\ge1$

• $x\ge0$

• all real numbers

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the range of the graph shown?

•  $y\ge-1$ 

•  $y\ge1$ 

•  $y\ge0$ 

• all real numbers

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the end behavior of the graph shown?

Choose TWO statements!

• $x\rightarrow-\infty,\ \ y\rightarrow-\infty$

• $x\rightarrow-\infty,\ \ y\rightarrow+\infty$

• $x\rightarrow+\infty,\ \ y\rightarrow-\infty$

• $x\rightarrow+\infty,\ \ y\rightarrow+\infty$

What is the domain of the graph shown?

• $x\ge2$

• $x\ge-3$

• $x\ge-1$

• All Real Numbers

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5