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

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