Question

The graph of F(x) shown below, has the same shape as the graph of G(x)=x^ 2 , but it is shifted down 3 units and to the left 2 units. What is its equation?

Answer 1

y = (x+2)^2 - 3

Explanation:

Because you are shifting the graph down, the y-coordinate is being changed, so you subtract 3 from the original equation. Because you are shifting to the left, you have to add to the x-value. (It's kind of backwards from what you'd think.)