Question

How do you graph `f(x)= -3 abs(x -2)`?

Answer 1

See below

Explanation:

`f(x) = -3*abs(x-2)`

Consider the the standard graph of `y=absx` below.

graph{absx [-10, 10, -5, 5]}

Then, `f(x)` has this standard graph shifted 2 units positive (right) on the `x-`axis and scaled by 3 units.

graph{3abs(x-2) [-10, 10, -5, 5]}

Then reflected in the `x-`axis. As below,

graph{-3abs(x-2) [-10, 10, -5, 5]}