Question

PLEASE HELP

Answer 1

Answer:

f(x) = 2(x + 4)² - 2

Step-by-step explanation:

Equation of quadratic function whose vertex is (h, k),

f(x) = a(x - h)² + k

Equation of the function with vertex (-4, -2) shown in the graph will be,

f(x) = a(x + 4)² - 2

This graph is passing through a point (-6, 6) also,

6 = a(-6 + 4)² - 2

6 + 2 = a(-2)²

a = $\frac{8}{4}$ = 2

Therefore, quadratic function is f(x) = 2(x + 4)² - 2