Question

What are the coordinates for the vertex of the parabola represented by the quadratic equation

y=1/2(x + 4)^2 – 2?

Answer 1

(-4, -2).

Explanation:

Compare y = (1/2)(x + 4)^2 – 2 to the standard equation:

y = a(x - h)^2 + k whose vertex is at (h, k).

We see that h = -4 and k = -2. Thus, the vertex of the vertex of the given parabola are (-4, -2).