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21 May, 05:42

How does the graph of y=-3√2x-4 compare to the graph of y=-3√x-4?

The graph is stretched horizontally by a factor of 2 and then moved right 4.

The graph is compressed horizontally by a factor of 2 and then moved down 4.

The graph is compressed horizontally by a factor of 2, moved left 4, and moved down 4.

The graph is stretched horizontally by a factor of 2, moved left 4, and moved down 4.

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Answers (1)
  1. 21 May, 07:30
    0
    Assuming the graph is y=-3 (√2x) - 4 and y=-3√ (x-4) the transformation would be:

    The graph is compressed horizontally by a factor of 2

    x=1/2x'

    y=-3 (√2x) - 4

    y=-3 (√x') - 4

    moved left 4

    x=x'-4

    y=-3 (√x) - 4

    y=-3 (√x'-4) - 4

    moved down 4

    y=y'-4

    y=-3 (√x-4) - 4

    y'-4=-3 (√x'-4) - 4

    y'=-3 (√x'-4) - 4 + 4

    y'=-3 (√x'-4)

    Answer: C. The graph is compressed horizontally by a factor of 2, moved left 4, and moved down 4.
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