the equation that represents the new graph is:
g(x) = √(x - 3) - 2
Here we start with the function:
y = f(x) = √x
First, we shift it 2 units down, then the new equation will be:
g(x) = f(x) - 2
Now we apply a horizontal shift, this time we shift the graph 3 units to the left, then the new equation is:
g(x) = f(x - 3) - 2
Now we replace f(x) = √x to get:
g(x) = √(x - 3) - 2
That is the equation that represents the new graph.
If you want to learn more about translations:
https://brainly.com/question/24850937
#SPJ1