Question

Which transformations have been performed on the graph of f(x) = x^2 to obtain the graph of g(x) = -3(x + 1)^2 – 4? Select all that apply.

Answer 1

The Solution:

Given:

$\begin{gathered} f(x)=x^2 \\ \text{ Transform to:} \\ g\mleft(x\mright)=-3\left(x+1\right)^2-4 \end{gathered}$

Required:

To determine the series of transformations.

The series of transformations is:

Reflection over the x-axis.

Translated down 4 units.

Vertical stretch of 3 units.

Translated left 1 unit.