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VICMath MethodsQuick questions

Unit 3

Quick questions on Transformations, composite and inverse functions: VCE Math Methods Unit 3

6short 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 are order of operations?
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When described in words, the conventional order is dilation, then reflection, then translation. VCAA marking guides accept any consistent order if the algebra produces the same final rule.
What are effect on key features?
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For each function family, transformations move key features predictably:
What are three exam patterns?
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VCAA examines composites in three patterns.
What is q1?
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Describe the transformations from y=f(x)y = f(x) to y=−2f(x−3)y = -2f(x - 3). [2 marks]
What is q2?
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For f(x)=xf(x) = \sqrt{x} and g(x)=x+1g(x) = x + 1, find (f∘g)(x)(f \circ g)(x) and its maximal domain. [3 marks]
What is q3?
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Find the inverse of f(x)=2x3−1f(x) = 2x^3 - 1 on R\mathbb{R}. [3 marks]

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