Given h(x) = |x+3| -5 •Identify the parent function f •Describe the sequence of transformation from f to h

Question

Given h(x) = |x+3| -5

•Identify the parent function f

•Describe the sequence of transformation from f to h

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Josephine 2 weeks 2021-09-13T11:37:42+00:00 1 Answer 0

Answers ( )

  1. Answer:

    The parent function f(x) is equal to f\left(x\right)=\left|x\right|

    The translations is 3 units to the left and 5 units down

    Step-by-step explanation:

    we have

    h\left(x\right)=\left|x+3\right|-5

    The vertex of the function h(x) is the point (-3,-5)

    we know that the parent function f(x) is equal to

    f\left(x\right)=\left|x\right|

    The vertex of the function f(x) is the point (0,0)

    so

    The rule of the transformation of f(x) to h(x) is equal to

    (x,y) —–> (x-3,y-5)

    That means —-> The translations is 3 units to the left and 5 units down

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