Quick questions on Reciprocal and modulus transformations: VCE Specialist Mathematics Unit 3

3short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is q1?

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The graph of

y = f(x)

crosses the

x

-axis at

x = -1

and

x = 3

. State the vertical asymptotes of

y = \frac{1}{f(x)}

. [2 marks]

What is q2?

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Describe how the graph of

y = |x^2 - 4|

differs from

y = x^2 - 4

. [2 marks]

What is q3?

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Explain why

y = f(|x|)

is always an even function. [2 marks]

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