Question

(b) the graph of $y = x^2$ is shown. translate it to get the graph of $y = (x - 2)^2$.

Explanation:

Step1: Identify vertex of original graph

The vertex of $y=x^2$ is $(0,0)$.

Step2: Identify vertex of translated graph

The vertex of $y=(x-2)^2$ is $(2,0)$.

Step3: Determine translation direction

To move from $(0,0)$ to $(2,0)$, shift 2 units right.

Answer:

Translate the graph of $y=x^2$ 2 units to the right. The vertex of the new graph $y=(x-2)^2$ will be at $(2,0)$, and the parabola maintains the same shape as the original.