Domain and Range from Vertex Form

What is the DOMAIN of the quadratic function $f\left(x\right)=\left(x+3\right)^2-2$  ?

•  $\left(-\infty,\infty\right)$  

•  $\left[-2,\ \infty\right)$  

•  $\left(-\infty,\ -2\right]$  

•  $\left[3,\ \infty\right)$  

What is the RANGE of the quadratic function $f\left(x\right)=\left(x+3\right)^2-2$  ?

•  $\left(-\infty,\infty\right)$  

•  $\left[-2,\ \infty\right)$  

•  $\left(-\infty,\ -2\right]$  

•  $\left[3,\ \infty\right)$  

What is the DOMAIN of the quadratic function $f\left(x\right)=-2\left(x-1\right)^2+3$  ?

•  $\left(-\infty,\infty\right)$  

•  $\left[1,\ \infty\right)$  

•  $\left(-\infty,\ 3\right]$  

•  $\left[3,\ \infty\right)$  

What is the RANGE of the quadratic function $f\left(x\right)=-2\left(x-1\right)^2+3$  ?

•  $\left(-\infty,\infty\right)$  

•  $\left(-\infty,\ 1\right]$  

•  $\left(-\infty,\ 3\right]$  

•  $\left[3,\ \infty\right)$  

What is the DOMAIN of the quadratic function $f\left(x\right)=3\left(x+2\right)^2+4$  ?

• All real numbers.

•  $y\le4$  
  

•  $y\ge4$  
  

•  $x\ge2$  
  

What is the RANGE of the quadratic function $f\left(x\right)=3\left(x+2\right)^2+4$  ?

•  $y<4$  
  

•  $y\le4$  
  

•  $y\ge4$  
  

•  $y>4$  
  

What is the DOMAIN of the quadratic function $f\left(x\right)=-\left(x-5\right)^2-1$  ?

• All real numbers.

•  $y\le-1$  
  

•  $y\ge-1$  
  

•  $x\le-5$  
  

What is the RANGE of the quadratic function $f\left(x\right)=-\left(x-5\right)^2-1$ ?

• $y<-1$
  

• $y\le-1$
  

• $y\ge-1$
  

• $y>-1$