I need to find the equation of the quadratic function in standard form

Question

Use the vertex (h, k) and a point on the graph (x, y) to find the general form of the equation of the quadratic function.

(h, k) = (−5, −1),    (x, y) = (−8, 8)

f(x) =

Answer 1

y = a(x + 5)² - 1 Vertex Form

8 = a(-8 + 5)² - 1 Substitute points

Solve for a and convert to standard form.