Write a function g whose graph is a horizontal shrink by a factor of 1/3
1 answer:
Answer:
- g(x) = 6|x + 1| - 2
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Given:
- Function f(x) = 2|x + 3| - 2
Find a function g which is a horizontal shrink by a factor of 1/3 of f(x).
Horizontal shrink by a factor of k is:
- g(x) = f(x/k)
Apply this to the given function:
- g(x) = f(x : 1/3) = f(3x) = 2|3x + 3| - 2 = 6|x + 1| - 2
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ANSWER
EXPLANATION
The given equation is
We add the additive inverse of 31 which is -31 to both sides of the equation to get,
Simplify;