Question

What is the equation of the parabola in vertex form. Vertex(4,4),point(2,-4)

Answer 1

y = -2(x - 4)^2 + 4.

Explanation:

Vertex form:

y = a(x - 4)^2 + 4 (because the vertex is at (4, 4)).

To find the value of a we substitute the point (2, -4):

-4 = a(2-4)^2 + 4

4a = -8

a = -2.