Sketching curves

Find the equation for line $L$. Write your answer in the form $y = mx + c$.

Feb/March 2019

The table gives some values of $y=\frac{3}{10}x^3-2x$ when $-3 \le x \le 3$.

Feb/March 2019

Sketch the graph of $y = x - 3$.

Feb/March 2020

Using the axes, sketch the graph of each function listed here.

Feb/March 2021

Fill in the missing values in the table for $y = -x^2 - x + 14$.

Feb/March 2021

Determine the equation of line L in the form $y = mx + c$.

Feb/March 2023

The table gives some values for $y = 2x^3 + 6x^2 - 2.5$. $x$: -3, -2.5, -2, -1.5, -1, -0.5, 0, 0.5, 1 $y$: , 3.75, 5.5, 4.25, 1.5, , -2.5, -0.75,

Feb/March 2024

Fill in the table of values for $y = -x^2 + 5x$.

May/June 2015

The grid underneath shows the straight line $L$. Its equation is $y = 2x + c$.

May/June 2015

Consider $f(x) = \frac{8}{x^2} + \frac{x}{2},\; x \neq 0.$

May/June 2015

Complete the table of values using $y = 8 + 7x - x^2$.

May/June 2016

On the grid, sketch the line $y=3$.

May/June 2016

Complete the value table for $y = \frac{16}{x}$, $x \neq 0$.

May/June 2016

Fill in the value table for $y = x^2 + 2x - 1$.

May/June 2017

Complete the values table for $y = 2x^2 - 4x - 6$.

May/June 2017

Complete the value table for $y = 5x - x^2$.

May/June 2018

Fill in the table.

May/June 2018

A graph of $y=f(x)$ for $f(x)=x^2-\dfrac{2}{x}-2$, with $x\ne0$.

May/June 2019

Using the axes, sketch each of these functions.

May/June 2021

Complete the value table for $y = \frac{18}{x}$.

May/June 2021

The table gives several values of $y = x^2 + x - 5$.

May/June 2021

A graph is displayed with the $x$-axis and $y$-axis labelled $x$ and $y$, and a straight line marked $L$ is drawn on it.

May/June 2023

This table gives several values of $y = x^2 - x - 3$.

May/June 2024

Complete the values table for $y = -x^2 + 8x + 1$.

May/June 2024

State the equation of line $L$ in the form $y = mx + c$.

May/June 2024

Complete the value table for $y = (x + 3)(x - 2)$.

May/June 2025

Find the equation for the line in the form $y = mx + c$.

Oct/Nov 2015

The function is given by $f(x)=x-\frac{1}{2x^2}$, $x\neq0$.

Oct/Nov 2015

Line L has been plotted on the grid.

Oct/Nov 2016

Complete the values table for $y = x^2 - 5x + 3$.

Oct/Nov 2016

Complete the values table for $y = x^2 - 2x$.

Oct/Nov 2016

$y=1-\frac{2}{x^2},\ x\ne0$

Oct/Nov 2016

A coordinate plane displays points A and B. A is positioned at about (-4, -2), and B is positioned at about (4, 2).

Oct/Nov 2017

The table gives some values of $y = 2x^2 + 5x - 3$ for $-4 \leq x \leq 1.5$.

Oct/Nov 2017

Fill in the table of values for $y = x^2 - 5x$.

Oct/Nov 2018

Complete the table of values for $y = x^2 - 4x - 3$.

Oct/Nov 2020

Complete the values table for $y = 1 + 5x - x^2$.

Oct/Nov 2020

Find the equation for line $L$, writing it in the form $y = mx + c$.

Oct/Nov 2021

This cubic graph has two turning points. The gradient is positive for $x < 0$ and also for $x > 4$. The gradient is negative for $0 \le x \le 4$. The curve goes through the origin.

Oct/Nov 2022

Fill in the remaining entries in the table of values for $y = x^2 + 2x - 4$.

Oct/Nov 2022

Complete the values table for $y = x^2 - 4x - 2$.

Oct/Nov 2023

Write down the correct mathematical name for the solid.

Oct/Nov 2024

Find the equation for line $L$ in the form $y = mx + c$.

Oct/Nov 2024

Complete the table entries.

Oct/Nov 2024

Find the coordinates of the turning point for the graph of $y=7-2x-x^2$.

Oct/Nov 2025

This quadratic curve has its minimum at (-3, -5).

Oct/Nov 2025