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|

Step-by-step 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|