Answer
The equation of the new graph is $$y=3x^2-3$$
Work Step by Step
For $c\gt1$, the graph is scaled:
- $y=cf(x)$ - stretched - vertically - factor of $c$
- $y =\frac{1}{c}f(x)$ - compressed - vertically - factor of $c$
- $y=f(cx)$ - compressed - horizontally - factor of $c$
- $y=f(\frac{x}{c})$ - stretched - horizontally - factor of $c$
$$y=x^2-1$$
The graph is STRETCHED - VERTICALLY - by a factor of $3$.
Therefore, the equation of the new graph is $$y = 3(x^2-1)$$
$$y = 3x^2-3$$
