Describe the transformation of f(x)=5x that produces g(x)=-2(5x-1)?

Algebra 2 

2 Answers

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  • Pope
    Lv 7
    4 weeks ago

    y = g(x)

    y = -2(5x -1)

    y = -2(5x) + 2

    y = -2f(x) + 2

    The graph of y= f(x) undergoes these two transformations in order:

    Scale vertically by factor -2, with the x-axis invariant.

    Translate upward two units.

    There are many ways of building the same net transformation. This answer does not conflict with the one you received earlier. I am only putting in a form more familiar to me.

  • ?
    Lv 7
    4 weeks ago

    f(x) = 5x ⇢ shift f(x) down by 1 unit ⇢ f₁(x) = 5x-1

                  ⇢ flip f₁(x) across x-axis ⇢ f₂(x) = -(5x-1)

                  ⇢ scale f₂(x) by a factor of 2⇢ g(x) = -2(5x-1)

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