The graph shows g(x), which is a translation of f(x)=|x|. Write the function rule for g(x).
Write your answer in the form a|x–h|+k, where a, h, and k are integers or simplified fractions.

The vertex of |x| is (0, 0). The vertex of g(x) is (0, -9), so there has been a vertical shift of -9 and no horizontal shift. The slopes of the lines on the graph of g(x) have a magnitude of 1, so the vertical scale is not changed from the original function (a=1).

Then the translated function is ...

g(x) = |x| -9

PHursh1 PHursh1 · Answer 2 · 2021-10-21T00:34:06+02:00

PHursh1 PHursh1

21-10-2021

Answer:

g|x| =|-2-4|

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The graph shows g(x), which is a translation of f(x)=|x|. Write the function rule for g(x). Write your answer in the form a|x–h|+k, where a, h, and k are integers or simplified fractions.

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The graph shows g(x), which is a translation of f(x)=|x|. Write the function rule for g(x).
Write your answer in the form a|x–h|+k, where a, h, and k are integers or simplified fractions.