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Date	May 2015	Marks available	3	Reference code	15M.2.hl.TZ2.3
Level	HL only	Paper	2	Time zone	TZ2
Command term	Sketch	Question number	3	Adapted from	N/A

Question

Sketch the graph of $y = {(x - 5)^2} - 2\left| {x - 5} \right| - 9,{\text{ for }}0 \le x \le 10$ .

[3]

a.

Hence, or otherwise, solve the equation ${(x - 5)^2} - 2\left| {x - 5} \right| - 9 = 0$ .

[2]

b.

Markscheme

general shape including \[(\) minimums, cusp A1A1

correct domain and symmetrical about the middle $(x = 5)$ A1

[3 marks]

a.

$x = 9.16\;\;\;{\text{or}}\;\;\;x = 0.838$ A1A1

[2 marks]

Total [5 marks]

b.

Examiners report

[N/A]

a.

[N/A]

b.

Syllabus sections

Topic 2 - Core: Functions and equations » 2.2 » The graph of a function; its equation

$y = f\left( x \right)$ .

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