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8 May, 17:12

Does the absolute value graph below flips or not flips? F (x) = 2|x-9|+3

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  1. 8 May, 19:47
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    The absolute value graph below does not flip.

    Step-by-step explanation:

    New graphs are made when transformed from their parents graphs. The parent graph for an absolute value graph is f (x) = |x|.

    The equation used for a new graph transformed from the parent graph is in the form f (x) = a |k (x - d) | + c.

    "a" shows vertical stretch (a>1) or vertical compression (0
    "k" shows horizontal stretch (0
    "d" shows horizontal shifts left (positive number) or right (negative number).

    "c" shows vertical shifts up (positive) or down (negative).

    The function f (x) = 2|x-9|+3 has these transformations from the parent graph:

    a = 2; Vertical stretch by a factor of 2

    k = 1; No change

    d = 9; Horizontal shift right 9 units

    c = 3; Vertical shift up 3 units

    Since neither "a" nor "k" was negative, there were no flips, also known as reflections.
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