Translate f (x) = |x| so that it's translated down by 3 units and vertically stretched by a factor of - 2. What's the new function in terms of g (x) ?

A. g (x) = |x| - 3

B. g (x) = |x - 2| - 3

C. g (x) = 3|x + 2|

D. g (x) = - 2|x| - 3

Question

Tucker Lyons

8 March, 21:05

+2

Answers (1)

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Elisabeth Barron · Answer 1

D. g (x) = -2IxI-3

The - 3 is the vertical shift 2 units down

The - 2 is multiplied outside of the x, so it's a vertical stretch.

Translate f (x) = |x| so that it's translated down by 3 units and vertically stretched by a factor of - 2. What's the new function in terms of g (x) ?A. g (x) = |x| - 3B. g (x) = |x - 2| - 3C. g (x) = 3|x + 2|D. g (x) = - 2|x| - 3