Write the equation in vertex form that has the root of -7 and has a vertex of (-1,-9)

Answer 1

f(x) = a(x - h)² + k

f(x) = a(x + 1)² - 9 insert vertex coordinates

0 = a(-7 + 1)² - 9 insert root coordinates

0 = a(-6)² - 9

0 = 36a - 9

9 = 36a

9/36 =a

1/4 = a

f(x) =(1/4)(x + 1)² - 9