Question

Identify the parent function that can be used to graph the function f(x)=3(x-9)2

Answer 1

Answer: f(x) = x²

Step-by-step explanation:

The vertex form of a quadratic equation is: f(x) = a(x - h)² + k   where;

• |a| is the vertical stretch
• -a is a reflection across the x-axis
• (h, k) is the vertex

The parent function is where a = 1 and the vertex is at the origin (h, k) = (0, 0)

→ f(x) = 1(x - 0)² + 0

⇒ f(x) = x²