Graphs of Square root functions

What is the domain of  $f\left(x\right)=\sqrt{x+3}-6$    Draw a graph if needed to help.

•  $x\ge-6$  

•  $x\ge6$  

•  $x\le3$  

•  $x\ge-3$  

•  $x\ge3$  

What is the range of  $f\left(x\right)=-2\sqrt{x-2}-5$      Draw a graph if needed to help.

•  $y\ge-5$  

•  $y\le5$  

•  $y\ge2$  

•  $y\le-2$  

•  $y\le-5$  

Describe Transformation:  $f\left(x\right)=-5\sqrt{x+3}+2$  

• reflected across x axis, vertical stretch, 3 right, 2 up

• reflected across x axis, vertical stretch, 3 left, 2 down

• reflected across x axis, vertical stretch, 3 left, 2 up

• reflected across x axis, vertical compression, 3 left, 2 up

• reflected across x axis, vertical compression, 3 right, 2 up

Which of these equations is vertically compressed and translated 3 right and 5 down, and not reflected across x-axis?

•  $f\left(x\right)=-3\sqrt{x+3}+5$  

•  $f\left(x\right)=4\sqrt{x-3}-5$  

•  $f\left(x\right)=\frac{1}{2}\sqrt{x-3}-5$  

•  $f\left(x\right)=2\sqrt{x+3}-5$  

•  $f\left(x\right)=-\frac{2}{3}\sqrt{x-3}-5$  

Find the average rate of change for  $f\left(x\right)=\sqrt{x+3}-6$  from x = 13 to x = 46.   Be sure to reduce your fraction.

• 1/9

• 1/11

• 1/13

• -1/9

• -1/11