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30 June, 23:10

Tate the order and type of each transformation of the graph of the function

ƒ (x) = - (x + 1) 3 + 1 as compared to the graph of the base function.

right 1 unit, reflection about the x-axis, up 1 unit

left 1 unit, reflection about the y-axis, up 1 unit

left 1 unit, reflection about the x-axis, up 1 unit

left 1 unit, up 1 unit, reflection about the x-axis

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  1. 30 June, 23:48
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    left 1 unit, reflection about the x-axis, up 1 unit

    Step-by-step explanation:

    This is a cubic that has been moved left 1 unit because of the (x+1) ^3 part.

    It also has been moved up one unit because of the plus 1 on the outside of the cube.

    There has also been a reflection across the x-axis because of the - 1 in front of the - (x+1) ^3 part.

    In general, g (x-h) + k means:

    1) the function g has been moved right (if h is positive) or moved left (if h is negative).

    2) the function g has been moved up (if k is positive) or down (if k is negative)
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