Question

Write the quadratic function in vertex form of the following graph:

Answer 1

y = -(x - 6)^2 - 2.

Explanation:

The vertex form will be of the form

y = a(x - j)^2 + k

where (j, k) is the coordinates of the vertex and a is a constant.

so, we have

y = a(x - 6)^2 - 2

The graph pass through the point (5, -3) so:

-3 = a(5 - 6)^2 - 2

-3 = a - 2

a = -1.

So the answer is y = -(x - 6)^2 - 2.