How do you graph #g(x) = (x+2)^3#?

1 Answer
Oct 11, 2017

Using desmos.com:
enter image source here

Explanation:

I used desmos to show what was going on, but you could do this by hand on graph paper as well with one of these two methods:

Make a table:
enter image source here

Then plot those points and connect them with a smooth curve.

Use transformations:

If you knew what #y=x^3# looked like already you could shift that graph over #2# units to the left. The number inside the parentheses affects the horizontal shift from the parent function #y=x^3#