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

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Answer 1 · 2018-05-23T13:37:21

See below

$f (x) = - 3 \cdot | x - 2 |$ $f(x) = -3*abs(x-2)$

Consider the the standard graph of $y = | x |$ $y=absx$ below.

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

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

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

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

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

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