Answer:
f(x) = (x - 3)² - 7
Step-by-step explanation:
The vertex form of an equation of the parabola:
f(x) = a(x - h)² + k
the vertex is (3, -7) ⇒ h = 3, k = -7
so:
f(x) = a(x - 3)² - 7
The parabola goes through the point (2, -6) ⇒ x=2, f(x)=-6
-6 = a(2 - 3)² - 7
-6 = a(-1)² - 7
+7 +7
1 = a
It means the equation of the parabola in vertex form:
f(x) = (x - 3)² - 7
