Question

Write the equation of the parabola in vertex form.
vertex (2,4), point (3,2)

Answer 1

y=-3(x-2)^2+4

Explanation:

The general equation for the data given is y = a(x-2)^2 + 4 based on the vertex information.

To find a, we use (3,1) to substitute. 1 = a(3-2)^2 + 4 or a = -3

So the full equation is y = -3(x-2)^2 + 4