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college algebra

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find the function that is finally graphed after the following transformations are applied to the graph of y=sqrt x in the order listed.
1. relected about the x-axis
2. shift down 9 units
3. shift left 2 units

y=

  • college algebra - ,

    1. y = -√x
    2. y = -√x - 9
    3. y = -√(x+2) - 9

  • college algebra - ,

    The answer is 3. Since the

    y = -√(x+2) - 9
    (-) means reflect by x-axis
    -9 means 9 units down
    +2 means shift left 2 units

    The sign makes a difference
    For shift if its negative it shift right and positive left.

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