Question

Write the equation of the parabola in vertex form. The vertex is

(-3,-4) and the parabola passes through The point (-1,0).

Answer 1

y + 4 = (x - h)^2

Explanation:

"vertex form" is y - k = a(x - h)^2. Here, the vertex (h, k) is (-3, -4), and so we have:

y + 4 = a(x + 3)^2. To find the coefficient a, substitute -1 for x and 0 for y:

0 + 4 = a(-1 + 3)^2, or

4 = a(2^2). Thus, a = 1, and the desired equation is

y + 4 = (x - h)^2