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Date November 2014 Marks available 2 Reference code 14N.1.hl.TZ0.1
Level HL only Paper 1 Time zone TZ0
Command term Find Question number 1 Adapted from N/A

Question

The function f is defined by f(x)=1x, x0.

The graph of the function y=g(x) is obtained by applying the following transformations to

the graph of y=f(x) :

     a translation by the vector (30); a translation by the vector (01);

Find an expression for g(x).

[2]
a.

State the equations of the asymptotes of the graph of g.

[2]
b.

Markscheme

g(x)=1x+3+1     A1A1

 

Note:     Award A1 for x+3 in the denominator and A1 for the “+1”.

[2 marks]

a.

x=3     A1

y=1     A1

[2 marks]

Total [4 marks]

b.

Examiners report

This question was generally well done. A few candidates made a sign error for the horizontal translation. A few candidates expressed the required equations for the asymptotes as ‘inequalities’, which received no marks.

a.

This question was generally well done. A few candidates made a sign error for the horizontal translation. A few candidates expressed the required equations for the asymptotes as ‘inequalities’, which received no marks.

b.

Syllabus sections

Topic 2 - Core: Functions and equations » 2.3 » Transformations of graphs: translations; stretches; reflections in the axes.

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