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I am having some difficulty understanding the concept of dilation of x values.

As I understand it, the following summarizes 'transformations' in terms of x.

f(2x)

  • dilation by a factor of 2 away from the y axis

  • A 2x2 matrix like so:
    [ 2 0 ]
    [ 0 2 ]

  • (x/2, y)

Am I correct? Is there anything I have missed?

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I'm pretty sure it's a dilation of 1/2 along the x-axis (from y-axis) because if it was 2f(x) then it would be a dilation factor of 2 along y-axis.

Remember:

  • f(nx) dilation of 1/n along the x-axis.

  • nf(x) dilation of "n" along y-axis.

  • -f(x) reflection on the x-axis.

  • f(-x) reflection on the y-axis.

  • f(x-a) translation of "a" units to the right.

  • f(x+a) translation of "a" units to the left.

  • f(x)+k translation of "k" units up.

  • f(x)-k translation of "k" units down.

Unless I'm misunderstanding the question.

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