Question

The graph of a function has the vertex (-5,17) and passes through the point (-3,28) how do I write it in vertex form

Answer 1

y = -11/4 (x − h)² + k

Explanation:

Vertex form of a parabola is:

y = a (x − h)² + k

where (h, k) is the vertex.

Given that the vertex is (-3, 28):

y = a (x + 3)² + 28

Given that a point on the curve is (-5, 17):

17 = a (-5 + 3)² + 28

-11 = 4a

a = -11/4

y = -11/4 (x − h)² + k