# Solving quadratic equations graphically

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## Lesson details

### Key learning points

- In this lesson, we will use graphs and transformations of graphs to solve quadratic equations.

### Licence

This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

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### 5 Questions

Q1.

Use the graph to find approximate solutions to the simultaneous equations

(-2,0) and (1,0)

(-2.8, 6.8) and (0.8 and 2.2)

(7.6, -3.3) and (2.3, 1.6)

Q2.

How many solutions are there to the simultaneous equations below.

0

2

Q3.

Find the value of y when x = 0

-3

0

Q4.

Find the value of y when x = 4

18

398

Q5.

Find the value of y when x = -3

-49

239

41

### 5 Questions

Q1.

Use your graph to find approximate solutions to the equation.

x = -0.5 and x = 4.5

x = -6

Q2.

Use your graph to find approximate solutions to the equation.

x = -0.6 and x = 4.6

x = -1.2 and x = 5.2

Q3.

Use your graph to find approximate solutions to the equation.

x = -0.4 and x = 4.4

x = -6

Q4.

Use your graph to find approximate solutions to the equation.

x = -1.2 and x = 5.2

x = 0 and x = 6

Q5.

Use your graph to find approximate solutions to the equation.

x = -1.2 and x = 5.2

x = -1.6 and x = 5.6