Question

Write the vertex form of a parabola that has the same shape as the parent graph of f(x) = x^2 but with the vertex point

at (5, 4).

Answer 1

f(x) = (x - 5)² + 4

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