Question

A quadratic function that has the vertex (-2, -4) and passes through the point (-1, -6)

Answer 1

f(x) = -2 (x + 2)² - 4

Explanation:

f(x) = a (x - h)² + k (h , k) is vertex h = -2 k = -4

pass point (-1 , -6) f(x) = -6 and x = -1

-6 = a (-1 - (-2))² + (-4)

-6 = a - 4

a = -2

quadratic function: f(x) = -2 (x + 2)² - 4