Question

Write an equation for a translation of the parent function y = |x| to translate it 7 units left.

A. y = |x| + 7
B. y = |x + 7|
C. y = |x − 7|
D. y = |x| − 7

Answer 1

9514 1404 393

Answer:

B. y = |x +7|

Explanation:

The translations represented by the answer choices are ...

A. up 7 units

B. left 7 units . . . . the choice we want

C. right 7 units

D. down 7 units

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In general, the effects of adding things to x and y are summarized by ...

y = f(x -a) +b . . . . . . . . translation right 'a' units, up 'b' units

Translations left or down are accomplished by using negative values for 'a' and/or 'b.

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We want translation 7 units left, so a=-7 and b=0

y = |x| ⇒ y = |x -(-7))| or y = |x+7|