math precalculus

Question

Write the equation of the parabola in the form: y = a (x - h)² + with vertex (-4,0) and a = -1.

Answer 1

Write Equation of parabola in

y = a (x - h)²

Given

a= -1

and point ( -4, 0)

plug in values

0 = -1 ( -4 -h) ²

0= (4 + h)²

( 4 + h) = 0

h= - 4

Equation of parabola is

y = - ( x +4)²