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25 April, 01:48

each transformation is performed on the line with the equation y=2x-1. write the equation of the new line. vertical translation down 3 units, slope increased by 4, slope divided in half, and shifted up 1 unit.

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  1. 25 April, 03:51
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    y2 = 2x-4

    y3=6x-1

    y4 = x-1

    y5=2x

    Step-by-step explanation:

    for y=2x-1

    1) for a vertical translation down of 3 units

    y2 = y-3 = (2x-1) - 3 = 2x-4

    y2 = 2x-4

    2) for a slope increased by 4

    y3 = y + 4x = 2x-1 + 4x = 6x-1

    y3=6x-1

    3) for sloped divided in half. slope of y : m=2 → slope of y4=2/2 = 1

    y4 = x-1

    4) shifted up (vertical translation) of 1 unit

    y5 = y+1 = 2x-1+1=2x

    y5=2x
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