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11 August, 09:07

h (x) = f (x) - c a horizontal shift of f, c units to the right a vertical shift of f, c units down a horizontal shift of f, c units to the left a vertical shift of f, c units up

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  1. 11 August, 09:18
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    a vertical shift of f, c units down

    Step-by-step explanation:

    Given:

    - A function h (x) is defined as:

    h (x) = f (x) - c

    Find:

    - The effect of "c" on the f (x) function.

    Solution:

    - The effect of adding or subtracting any constant to or from a given function f (x) shifts the f (x) value for all values of x by an amount "c"

    - This effect can be modeled on a graph by a "vertical shift" i. e there is an increase/decrease in every "y" value by amount "c" units.

    - In the case given we see that "c" units have been subtracted from original f (x).

    - Meaning, all f (x) values have decreased for every value of x. This can be categorized as vertical shift of f (x) with "c" units down.
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