Write the equation of the function graphed.

A. f(x) = |x + 4|
B. f(x) = |x – 4|
C. f(x) = |x| – 4
D. f(x) = |x| + 4

Question

Write the equation of the function graphed.
  
A. f(x) = |x + 4|
B. f(x) = |x – 4|
C. f(x) = |x| – 4
D. f(x) = |x| + 4

anonymous · Answer

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anonymous · Answer

It's an absolute value function moved 4 units to the left.

The general equation for these translations and stretches/compressions is:

$$f(x) = af[k(x-d)]+c$$
The d value is for horizontal translations.
Then this value is negative, the translation is to the right and to the left when positive.

anonymous · Answer

The k and d values are written INSIDE THE FUNCTION--if that helps at all. =)

anonymous · Answer

Oh, okay.. so are C. and D. out, then?

anonymous · Answer

Correct, because those show vertical translations of 4 up and 4 down.

anonymous · Answer

Oh, okay. Would it be B. then?

anonymous · Answer

B is 4 units to the right. ^^  You want to the left.

anonymous · Answer

Oh... oops. So then, by process of elimination, the answer is A.

anonymous · Answer

Thank you! :)

anonymous · Answer

Welcome (: