Transformations of Functions - Type 1 - 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

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

Which family does this graph belong to?

• absolute value

• quadratic

• linear

• square root

• rational

What is the domain of the graph shown?

• $x\ge-1$

• $x\ge1$

• $x\ge0$

• all real numbers

What is the range of the graph shown?

•  $y\ge-1$ 

•  $y\ge1$ 

•  $y\ge0$ 

• all real numbers

What is the range of the graph shown?

•  $y\ge2$ 

•  $y\ge-3$ 

•  $y\ge-1$ 

• All Real Numbers

Which of these graphs are reflected?

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 $g\left(x\right)$ is a reflection across the x-axis of  $f\left(x\right)$ .  Which equation relates  $g\left(x\right)$  and  $f\left(x\right)$  ?

•  $g\left(x\right)=-f\left(x\right)$  

•  $g\left(x\right)=f\left(-x\right)$