Dilations (VCE SSCE Mathematical Methods): Quizzes

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Dilations
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What does a dilation transformation do to a graph?

Stretches or shrinks it

In a dilation from the x-axis, which coordinates change?

Only y-coordinates

In a dilation from the y-axis, which coordinates remain unchanged?

y-coordinates

What is the transformation rule for dilation factor bb from the x-axis?

(x,y)(x,by)(x, y) \rightarrow (x, by)

What is the transformation rule for dilation factor aa from the y-axis?

(x,y)(ax,y)(x, y) \rightarrow (ax, y)

What happens when a graph is dilated from the x-axis with factor 2?

Stretches vertically (twice as tall)

What happens with a dilation factor 12\frac{1}{2} from the y-axis?

Graph compresses horizontally

What is the image of y=xy = \sqrt{x} after dilation factor 2 from the x-axis?

y=2xy = 2\sqrt{x}

What is the image of y=1x2y = \frac{1}{x^2} after dilation factor 4 from the y-axis?

y=16x2y = \frac{16}{x^2}

Dilation factor from y-axis to get y=3xy = \sqrt{3x} from y=xy = \sqrt{x}?

13\frac{1}{3}

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