Sketching curves

The table shown below corresponds to $y = x^2 + x - 3$.

May/June 2016

This table is based on $y=x^3-3x-1$.

May/June 2017

A value of $x$ is chosen at random, where $x$ may be any real number.

May/June 2017

Fill in the table for $y = \dfrac{x^2}{2} - 3x + 2$.

May/June 2018

The table lists several values of $y = 1 + \frac{2}{x}$, rounded to $2$ decimal places whenever that is necessary.

May/June 2019

The equations are $y = 2x + 1$, $y = 2x - 1$, $y = -2x + 1$ and $y = -2x - 1$. The diagrams below contain sketches of two of these lines. Write the correct equation under each diagram.

May/June 2021

Express $x^2+4x-12$ in the form $(x+a)^2+b$.

May/June 2025

Fill in the table of values for $y = x^3 - 5x + 4$.

May/June 2025

The variables $x$ and $y$ satisfy the equation $y=3+x-\frac{x^2}{2}$.

Oct/Nov 2017

Work with the function $y = \frac{x}{5}(6 + 2x - x^2)$.

Oct/Nov 2018

Fill in the table for $y = 3 + 2x - \frac{x^3}{5}$.

Oct/Nov 2019

Graphs and equations using $y = \frac{x}{4} + \frac{2}{x}$.

Oct/Nov 2020

Draw the graph of $y = 2^x$ on the grid below for $0 \le x \le 4$.

Oct/Nov 2021

Use $y = \frac{x^3}{2} - 3x - 1$ to complete the table.

Oct/Nov 2021

Examine the graph of $y = \frac{x^3}{2} - 3x + 2$.

Oct/Nov 2022

A cuboid is of height $h$ cm and has a square base with edge $x$ cm. Its volume is $60\text{ cm}^3$.

Oct/Nov 2022

Sketch the graph for $y=2-3x$.

Oct/Nov 2025