Answer:
y = - 3(x + 2)² + 12
Explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (- 2, 12), thus
y = a(x + 2)² + 12
To find a substitute (- 4, 0) into the equation
0 = a(- 2)² + 12, that is
4a + 12 = 0 ( subtract 12 from both sides )
4a = - 12 ( divide both sides by 4 )
a = - 3
y = - 3(x + 2)² + 12 ← equation in vertex form