Question

Write a quadratic function in vertex form whose graph has the vertex (−5, −1) and passes through the point (−2, 2)

Answer 1

$f(x) = a(x+5)^2-1$

$2 = a(-2+5)^2-1 \\ 9a = 3 \\ a = 3$

$f(x) = 3(x+5)^2-1$