Question

Write a quadratic function with a vertex at (-9,13).

Answer 1

y = (x+9)^2+ 13

Hope that helps.

Answer 2

y = x² + 18x + 94

Explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (- 9, 13) and letting a = 1, then

y = (x + 9)² + 13 ← expand (x + 9)² using FOIL

= x² + 18x + 81 + 13

= x² + 18x + 94