Domain and Range of Quadratic Functions

What are the domain and range of

 $g\left(x\right)=-\frac{1}{3}\left(x-9\right)^2+4$  ?

• Domain:  $All\ real\ numbers$  Range: $g\left(x\right)\le4$  

• Domain:  $All\ real\ numbers$  Range:  $g\left(x\right)\le9$  

• Domain:  $All\ real\ numbers$  Range:  $x\le4$  

What are the domain and range of

 $y=2\left(x-5\right)^2+7$  ?

• Domain:  $All\ real\ numbers$  Range:  $y\ge7$  

• Domain:  $x\ge5$  Range:  $All\ real\ numbers$  

• Domain:  $All\ real\ numbers$  Range:  $x\ge7$  

What is the range of $y=2x^2-4x-2$ ?

•  $All\ real\ numbers$  

•  $y\ge-4$  

•  $y\ge1$  

•  $x\ge-4$  

What is the domain of $f\left(x\right)=\frac{1}{4}\left(x-4\right)^2-8$  ?

•  $All\ real\ numbers$  

•  $f\left(x\right)\ge-4$  

•  $x\ge-4$  

•  $f\left(x\right)\ge1$  

What are the domain and range $y=x^2-4$  ?

• Domain:  $All\ real\ numbers$  Range:  $y\ge-4$  

• Domain:  $All\ real\ numbers$  Range:  $x\ge-4$  

• Domain:  $y\ge-4$  Range:  $All\ real\ numbers$