Question

PLEASE HELP ASAP!!!

Start with the parent function for a square root function. Perform the following translations:

-reflect the graph over the x-axis
-move the graph to the left 2 units
-move the graph down 3 units

1) Sketch the original function and the shifted function on the same graph.

2) Write the equation of the shifted function.

Answer 1

reflectiion across x axis is time whole function by -1

move left 2 units is add 2 to every x
move down 3 units is minus 3 from whole function


1. I ain't gonna sketch them because I am a bad drawer but I will give equations

2. reflect is f(x)=-√x
move left 2 is $f(x)= \sqrt{x+2}$
move 3 down is $f(x) \sqrt{x} -3$