Question

Given a = -1, h = 3, and k = 2, how will the graph g(x) change if the parent function is f(x) = x2?

Answer 1

g(x)=a(x+h)+k
g(x)=-1(x-3)+2
since a is negative this graph opens downwards
while the parent function look like this it opens upward

Answer 2

The graph will be reflected and move 2 units down.

The graph will move 3 units to the left and 2 units up.

The graph will move 3 units to the right and 2 units up.

The graph will be reflected, it will move 3 units to the right, and 2 units up.