| Date | November 2014 | Marks available | 2 | Reference code | 14N.1.hl.TZ0.1 |
| Level | HL only | Paper | 1 | Time zone | TZ0 |
| Command term | State | Question number | 1 | Adapted from | N/A |
Question
The function f is defined by f(x)=1x, x≠0.
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).
State the equations of the asymptotes of the graph of g.
Markscheme
g(x)=1x+3+1 A1A1
Note: Award A1 for x+3 in the denominator and A1 for the “+1”.
[2 marks]
x=−3 A1
y=1 A1
[2 marks]
Total [4 marks]
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.
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.
