If the graph of the following parabola is shifted one unit left and two units up, what is the resulting equation in vertex form? x^2=12

ANSWER

EXPLANATION

The original parabola has equation

This parabola has its vertex at the origin:

If the parabola is shifted one unit left and two units up, then its new vertex is at (-1,2).

The equation of the new parabola is now of the form:

where (h,k) is the vertex.

Substitute the vertex to get:

72 is the answer to this problem