Question

The graph of the function f(x)=−|2x| is translated 4 units down.

What is the equation of the transformed function?



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g(x)=

Answer 1

g(x) = -l2xl-4

Here are some extra tips for future use (This goes for any amount of units specified I'm just using 4 as an example):

If translated 4 units down it's negative so you subtract -4 at the end of the equation.

if translated 4 units up it's positive so you'd add +4 at the end of the equation.

If translated 4 units to the left you add those 4 units to the x-value so it would be f(x)= -l2x+4l.

If translated 4 units to the right you subtract 4 units to the x-value so it would be f(x)= -l2x-4l.