Answer:
f(x) = (x - 5)² + 4
Step-by-step explanation:
Parent graph: f(x) = ax² and vertex (h, k) means the vertex form of a parabola that has the same shape: f(x) = a(x - h)² + k
f(x) = x² ⇒ a = 1
vertex: (5, 4) ⇒ h = 5, k = 4
Vertex form of a parabola that has the same shape as the parent graph of f(x) = x^2 and the vertex (5, 4):
f(x) = (x - 5)² + 4
