Answer:
f(x) = | x - 2 | - 3
Explanation:
When you have a basic equation like f(x) = | x | , you can make changes to it like a shift (which is a slide or translation--all interchangeable words)
Left and Right shifts show up in the equation in close with the x. Up and down shifts are just tacked on to the end of the equation.
Also for Left and Right shifts, it may look like the opposite of what you might guess (but its not random, there are math reasons for this) If you slide to the Left put a " + anumber " in close by the x. If you slide to the Right put a " - anumber " in close by the x.
Up and Down shifts are more intuitive, " + anumber " at the end of the equation for Up; and " - anumber " at the end of the equation for Down.
Your question has a Right Shift of 2 units, so alter the basic equation with a " - 2" in close with the x. Like this:
f(x) = | x - 2 |
Your question has a Down Shift 3 units, so tack on " - 3" at the end of the equation, like this:
f(x) = | x - 2 | - 3
There it is! Hope this helps!