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Functions

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The function y = x becomes y= -2(3x+2)-5. Describe the order in which the transformations would take place.

1. The function is stretched vertically by a factor of 2
2. The function is compressed horizontally by a factor of 1/3
3. The graph is reflected into the x-axis
4. The graph translates 2 units to the left
5. The graph translates downwards 5 units

Is that correct?

  • Functions -

    The function is stretched vertically by a factor of 2

    The function is compressed horizontally by a factor of 1/3

    The graph is reflected into the x-axis

    The graph translates 2 units to the left

    The graph translates downwards 5 units

    IS THAT CORRECT?

  • Functions -

    The function is compressed horizontally by a factor of 1/3 (or stretched vertically by 3)
    y = 3 x

    Translates 2 units up
    y = 3x+2

    reflects over x axis
    y = -(3x+2)

    stretch vertically by 2
    y = -2(3x+2)

    down 5

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