Question

f(x)=x^{2}-4
parent graph:
questions to ask: (circle answers) shift or flip or dilate? outside or inside? vertical or horizontal? expect or opposite?
transformation(s):

Explanation:

Step1: Identify parent - function

The parent function of $f(x)=x^{2}-4$ is $y = x^{2}$, which is a quadratic function.

Step2: Analyze transformation

The $- 4$ is outside the $x^{2}$ term. For a function $y = f(x)+k$, when $k=-4$, it represents a vertical shift. Since $k < 0$, the graph of $y=x^{2}$ is shifted 4 units down.

Answer:

Parent Graph: $y = x^{2}$
Transformation(s): Vertical shift 4 units down.