Answer:
f(x) = (x - 4)²
Step-by-step explanation:
The vertex form of an equation of the parabola:
f(x) = a(x - h)² + k
the vertex is (4, 0) ⇒ h = 4, k = 0
so:
f(x) = a(x - 4)² + 0
f(x) = a(x - 4)²
The parabola goes through the point (3, 1) ⇒ x=3, f(x)=1
1 = a(3 - 4)²
1 = a(-1)²
1 = a
It means the equation of the parabola in vertex form:
f(x) = (x - 4)²
