Question

The graph of the absolute value parent function, x) = 1x is stretched horizontally by a factor of 6 to create the graph of g(x). What function is x)?​

Answer 1

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Answer:

A. g(x) = |x/6|

Explanation:

The kinds of transformations that can be applied to a function are ...

g(x) = f(x -h) +k . . . . . . translation by (h, k)

g(x) = c·f(x) . . . . . . . . . vertical stretch by a factor of c. Reflection over x-axis when c < 0

g(x) = f(x/c) . . . . . . . . horizontal stretch by a factor of c. Reflection over y-axis when c < 0

Note that when the "stretch" factor is less than 1, the effect is a compression of the graph.

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Here, we want horizontal expansion of f(x) = |x| by a factor of 6. That means the transformed function will be ...

g(x) = |x/6| . . . . matches choice A