Answer:
Step-by-step explanation:
The vertex form of an equation of the parabola:
f(x) = a(x - h)² + k
the vertex is (3, 6) ⇒ h = 3, k = 6
so:
f(x) = a(x - 3)² + 6
The parabola goes through the point (4, 4) ⇒ x=4, f(x)=4
4 = a(4 - 3)² + 6
4 = a(1)² + 6
-6 -6
- 2 = a
It means the equation of the parabola in vertex form:
f(x) = -2(x - 3)² + 6
