Write the expression for when you translate the graph of y = | 1/2 x−2 |+3 a) one unit up, b) one unit down, c) one unit to t

Question

Write the expression for when you translate the graph of y = | 1/2 x−2 |+3 a) one unit up, b) one unit down, c) one unit to the left, d) one unit to the right.

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Julia 3 weeks 2021-09-08T09:17:09+00:00 1 Answer 0

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    2021-09-08T09:19:01+00:00

    Answer:

      a) y = |x/2 -2| +4

      b) y = |x/2 -2| +2

      c) y = |(x+1)/2 -2| +3

      d) y = |(x-1)/2 -2| +3

    Step-by-step explanation:

    To translate the function f(x) by (h, k) in the (right, up) direction, you transform it to …

      g(x) = f(x -h) +k

    a) one unit up

    Add 1 to the function value.

      y=\left|\dfrac{x}{2}-2\right|+3+1\\\\\boxed{y=\left|\dfrac{x}{2}-2\right|+4}

    b) one unit down

    Subtract 1 from the function value.

      y=\left|\dfrac{x}{2}-2\right|+3-1\\\\\boxed{y=\left|\dfrac{x}{2}-2\right|+2}

    c) one unit left

    Replace x with x-(-1).

      y=\left|\dfrac{x-(-1)}{2}-2\right|+3\\\\\boxed{y=\left|\dfrac{x+1}{2}-2\right|+3}

    d) one unit right

    Replace x with x-1.

      \boxed{y=\left|\dfrac{x-1}{2}-2\right|+3}

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45:7+7-4:2-5:5*4+35:2 =? ( )