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

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Answer 1 · 2018-05-23T13:37:21

See below

#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]}