Write An Equation From A Graph...4

Discussion in 'Other Pre-University Math' started by nycmathguy, Jul 31, 2021.

  1. nycmathguy

    nycmathguy

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    Section 1.7
    Question 14

    See attachment.

    For 14a, f(x) = sqrt{x} has been shifted one unit to the left and downward 7 units.

    Answer: f(x) = sqrt{x + 1} - 7.

    For 14b, f(x) = sqrt{x} has been shifted 3 units to the right and downward by 4 units. The graph has also been reversed.

    Answer: f(x) = -sqrt{x - 3} - 4.

    You say?

    20210731_033308.jpg
     
    nycmathguy, Jul 31, 2021
    #1
  2. nycmathguy

    MathLover1

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    14a correct

    14b f(x) = sqrt{x} has been shifted 3 units to the right and downward by 4 units -> correct
    also the graph is reflected about x and y axis

    Answer: f(x) = -sqrt{ 3-x } - 4

    upload_2021-7-31_13-55-45.png
     

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    MathLover1, Jul 31, 2021
    #2
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  3. nycmathguy

    nycmathguy

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    Why do we switch the radicand from (x - 3) to (3 - x)?
     
    nycmathguy, Aug 1, 2021
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