Find a possible formula for the quadratic function whose graph has a vertex (6,3) and y-intercept -8.

Answer 1

y = a(x - 6)² + 3 gives a vertex at (6, 3)

The y-intercept will allow us to solve for a; the equation must include (0, -8)

-8 = a(0 - 6)² + 3

-8 = 36 a + 3

36a = -11

a = -11/36

y = -11/36(x - 6)² + 3