Dilations (HSC SSCE Mathematics Advanced): Quizzes

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Dilations
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What is a dilation?

A stretch/compression in one direction

What is the axis of dilation for a vertical dilation?

The xx-axis

To stretch a graph horizontally by factor aa, what do you replace xx with?

xa\frac{x}{a}

What is the result of applying vertical dilation factor 5 to y=f(x)y = f(x)?

y=5f(x)y = 5f(x)

For the ellipse x216+y29=1\frac{x^2}{16} + \frac{y^2}{9} = 1, what are the yy-intercepts?

±3\pm 3

What makes an enlargement create a figure similar to the original?

Same factor in both directions

What happens with a dilation factor between 0 and 1?

The graph is compressed

What does a negative dilation factor combine?

A dilation and a reflection

What type of transformation is a dilation with factor 1-1?

A reflection

Where is the centre of enlargement normally located in the coordinate plane?

The origin

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