### Home > PC3 > Chapter 9 > Lesson 9.1.2 > Problem9-30

9-30.

Graph $y = x^{3} − 3x$.

1. Graph $y = (x + 2)^3 − 3(x + 2)$ in a different color.

$y = x(x^2 − 3)$
This function has three real roots, identify the real roots, which are the $x$-intercepts of the curve.

2. If $x^3 − 3x = f(x)$, write an expression for $(x + 2)^3 − 3(x + 2)$ in terms of $f(x)$ and call it $g(x)$.

Notice that each $x$ from the original function is now $x + 2$.
This shifts the original function $2$ units to the ____.