# Maths Paper 1, November 2024, question 5.3

> The diagram below shows the graph of f(x)=a/(x+p)+q, with domain xinR, x ≠ 2. Marked mark by mark. Q5.3, Maths Paper 1 November 2024, 2 marks.

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Last updated: 2026-11-12

Subject: Maths. Source: Based on Nov 2024 · Paper 1 · Q5.3. Marks: 2. Not yet checked by a teacher.

## Question 5.3 (2 marks)

The diagram below shows the graph of $f(x)=\dfrac{a}{x+p}+q$, with domain $x\in\mathbb{R}$, $x\neq 2$. The vertical asymptote is $x=2$ and the horizontal asymptote is $y=-1$. The graph of $f$ cuts the $y$-axis at $(0;2)$. Calculate the value of $a$.

Figure: Graph of a hyperbola f with a vertical dashed line x = 2 and a horizontal dashed line y = -1. The left branch is above y = -1 and cuts the y-axis at (0; 2); the right branch lies below y = -1.

## Practise it

[Answer this question](https://sharpkop.co.za/maths/2024-nov-p1/q5-3/) and see it marked mark by mark, with the reason for every lost mark.

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