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Date	May 2014	Marks available	2	Reference code	14M.1.sl.TZ1.1
Level	SL only	Paper	1	Time zone	TZ1
Command term	Write down	Question number	1	Adapted from	N/A

Question

Let $f(x) = a{(x - h)^2} + k$ . The vertex of the graph of $f$ is at $(2, 3)$ and the graph passes through $(1, 7)$ .

Write down the value of $h$ and of $k$ .

[2]

Find the value of $a$ .

[3]

Markscheme

$h = 2,{\text{ }}k = 3$ A1A1 N2

[2 marks]

attempt to substitute $(1,7)$ in any order into their $f(x)$ (M1)

eg $7 = a{(1 - 2)^2} + 3{\text{, }}7 = a{(1 - 3)^2} + 2{\text{, }}1 = a{(7 - 2)^2} + 3$

correct equation (A1)

eg $7 = a + 3$

a = 4 A1 N2

[3 marks]

Examiners report

[N/A]

Syllabus sections

Topic 2 - Functions and equations » 2.4 » The quadratic function

$x \mapsto a{x^2} + bx + c$ : its graph,

$y$ -intercept

$(0, c)$ . Axis of symmetry.

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