Grade 12 Maths Paper 1 November 2024 question 5.5 marked

Maths Paper 1, November 2024, question 5.5

Maths P1 · Functions and graphs

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f (x) = \frac{a}{x + p} + q

has domain

x \neq 2

. Its vertical asymptote is

x = 2

and its graph cuts the

y

-axis at

(0; 1)

. The line

g (x) = x - 3

is a line of symmetry of

f

. Each branch of

f

is increasing, and

f (x) = - \frac{4}{x - 2} - 1

5.52 marks

The function

f

is given in the information above. Graph

f

is transformed to a new graph

h

so that: •

h

has the same domain and the same range as

f

• the gradient of

h

is negative at every point of its domain, that is

h ’ (x) < 0

. Describe one possible transformation of

f

that gives

h

NSCBased on Nov 2024 · Paper 1 · Q5.5

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Updated 12 November 2026