# Maths Paper 1, November 2024, question 5.1

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

Canonical: https://sharpkop.co.za/maths/2024-nov-p1/q5-1/
Last updated: 2026-11-12

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

## Question 5.1 (1 mark)

The graph of $f$ has a vertical asymptote at $x = 2$ and a horizontal asymptote below the $x$-axis. The graph cuts the $y$-axis at $(0; 1)$. The line $g(x) = x - 5$ is a line of symmetry of $f$.

The diagram below shows the graph of $f(x) = \frac{a}{x + p} + q$ with domain $x \in \mathbb{R}, x \neq 2$. Write down the value of $p$.

Figure: Graph of a hyperbola f with a vertical dashed line x = 2 and a horizontal dashed line below the x-axis. The left branch rises steeply towards x = 2 and cuts the y-axis at (0; 1); the right branch lies below the horizontal dashed line. A straight line g slopes upwards through the point where the two dashed lines cross.

## Practise it

[Answer this question](https://sharpkop.co.za/maths/2024-nov-p1/q5-1/) and see it marked mark by mark, with the reason for every lost mark.

## Related

- [More functions and graphs questions](https://sharpkop.co.za/maths/functions-and-graphs/)
- [Maths Paper 1, November 2024](https://sharpkop.co.za/maths/2024-nov-p1/)
- [Grade 12 Maths past papers](https://sharpkop.co.za/maths/)

Questions are based on National Senior Certificate papers set by the Department of Basic Education. Sharpkop is not affiliated with or endorsed by the Department.