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15 April, 09:06

Which of the following describes how to translate the graph y = |x| to obtain the graph of y = |x + 1| + 1?

shift 1 unit left and 1 unit down

shift 1 unit left and 1 unit up

shift 1 unit right and 1 unit down

shift 1 unit right and 1 unit up

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Answers (2)
  1. 15 April, 09:44
    0
    2nd Option is correct.

    Step-by-step explanation:

    Parent function: y = |x|

    After translation Obtained Function: y = | x + 1 | + 1

    We need to find translation done to get 2nd function.

    We know that if we have,

    Parental function: y = f (x)

    Function we get y = f (x - a) + b

    Translation done here, a unit shifted right and b unit shifted upward.

    So,

    y = | x - (-1) | + 1

    Translation done here is 1 unit left because value of a = - 1 and 1 unit upward because 1 is added to f (x).

    Therefore, 2nd Option is correct.
  2. 15 April, 10:08
    0
    You would shift one unit left and one unit up using the formula y=mx+b the b is the y coordinate and the number added or subtracted from the x is the coordinate
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