If you horizontally stretch the linear parent function, f(x) = x, by a factor of 3, what is the equation of the new function? A.

Question

If you horizontally stretch the linear parent function, f(x) = x, by a factor of 3,
what is the equation of the new function?
A. g(x) = x – 3
B. g(x) = 3x
O C. g(x) = 3 – x
D. g(x) = 3 *
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Thu Cúc 4 years 2021-08-14T16:05:25+00:00 1 Answers 25 views 0

Answers ( )

  1. Vodka
    0
    2021-08-14T16:06:33+00:00
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    Answer:

    The equation of the new function is g(x) = \frac{x}{3}

    Step-by-step explanation:

    Horizontally stretching a function:

    Horizontally stretching a function f(x), by a factor of a, means that:

    g(x) = f(\frac{x}{a})

    In this question:

    f(x) = x, horizontally stretched by a factor of 3, so a = 3, and:

    g(x) = f(\frac{x}{3}) = \frac{x}{3}

    The equation of the new function is g(x) = \frac{x}{3}

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