Question

Each statement describes a transformation of the graph of y = x2. Which statement correctly describes the graph of y = (x + 4)2 - 7?

Answer 1

Answer: The graph of the parabola will be moved left 4 units and down 7 units.

The equation is given to us in vertex form: y = (x - h)^2 + k. In this form, the h and k values make up the vertex of the parabola. (h, k)

If we match over values to the vertex form equation, we get a vertex of (-4, -7). Comparing this point to (0, 0) it is a shift left 4 and down 7.