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6 June, 17:23

The parent function f (x) = log5x has been transformed by reflecting it over the x-axis, stretching it vertically by a factor of two and shifting it up three units. Which function is representative of this transformation?

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  1. 6 June, 18:06
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    The function formed is g (x) - 2log5x+3 ...

    Step-by-step explanation:

    According to the given statement the parent function f (x) = log5x has been transformed by reflecting it over the x-axis, stretching it vertically by a factor of two and shifting it up three units.

    We have to find which function is representative of this transformation?

    Solution:

    The parent function y = log5x has been transformed by reflecting it over the x-axis.

    f (x, y) ⇒f (x,-y)

    -y = log5x

    y = - log5x

    Now stretching it vertically by a factor of two means multiply the factor by output constant given.

    y = - 2log5x

    Then shifting it up three units:

    It means f (x) ⇒f (x) + b function shift upwards by b units.

    y = - 2log5x+3

    Thus the function formed is g (x) - 2log5x+3 ...
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