Question

1. f(x)=x³ + 2

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 $y = x^{3}+2$ is $y = x^{3}$.

Step2: Analyze transformation

The $+ 2$ is outside the $x^{3}$ function. For a function $y = f(x)+k$, when $k>0$, it represents a vertical shift. Here $k = 2$, so it is a vertical shift upwards by 2 units.

Answer:

Parent Graph: $y = x^{3}$
Transformation(s): Vertical shift upwards by 2 units