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VICMath MethodsQuick questions

Unit 1

Quick questions on Functions, relations and graphs: VCE Math Methods Unit 1 Year 11

10short 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 translation in yy?
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y=f(x)+ky = f(x) + k shifts up by kk (down if k<0k < 0).
What is translation in xx?
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y=f(x−h)y = f(x - h) shifts right by hh (left if h<0h < 0). Note the sign convention: (x−h)(x - h) means shift right.
What is dilation in yy?
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y=af(x)y = a f(x) stretches vertically by factor aa (compresses if 0<a<10 < a < 1, reflects if a<0a < 0).
What is dilation in xx?
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y=f(bx)y = f(b x) stretches horizontally by factor 1/b1/b (compresses if b>1b > 1).
What are combined transformations?
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y=af(b(x−h))+ky = a f(b(x - h)) + k combines all four with vertex at (h,k)(h, k).
What are reflections?
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Special case of dilations:
What are wrong order of transformations?
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Apply inside-the-bracket transformations first (operations on xx), then outside (operations on yy).
What is q1?
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Describe the transformations taking y=x2y = x^2 to y=(x+1)2+4y = (x + 1)^2 + 4, and state the vertex. [2 marks]
What is q2?
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State the asymptote, yy-intercept and range of y=3x−2y = 3^x - 2. [3 marks]
What is q3?
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The graph of y=a(x−h)2+ky = a(x - h)^2 + k has vertex (2,−1)(2, -1) and passes through (0,3)(0, 3). Find aa. [2 marks]

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