Year 9

Solving quadratic equations graphically

Year 9

Solving quadratic equations graphically

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Lesson details

Key learning points

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

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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
An image in a quiz
(-2,0) and (1,0)
(-2.8, 6.8) and (0.8 and 2.2)
Correct answer: (-3.3, 7.6) and (1.6, 2.3)
(7.6, -3.3) and (2.3, 1.6)
Q2.
How many solutions are there to the simultaneous equations below.
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0
Correct answer: 1
2
Q3.
Find the value of y when x = 0
An image in a quiz
Correct answer: -10
-3
0
Q4.
Find the value of y when x = 4
An image in a quiz
18
398
Correct answer: 78
Q5.
Find the value of y when x = -3
An image in a quiz
-49
239
Correct answer: 29
41

5 Questions

Q1.
Use your graph to find approximate solutions to the equation.
An image in a quiz
x = -0.5 and x = 4.5
Correct answer: x = -1.2 and x = 5.2
x = -6
Q2.
Use your graph to find approximate solutions to the equation.
An image in a quiz
x = -0.6 and x = 4.6
x = -1.2 and x = 5.2
Correct answer: x = -1.5 and x = 5.5
Q3.
Use your graph to find approximate solutions to the equation.
An image in a quiz
x = -0.4 and x = 4.4
Correct answer: x = -1.2 and x = 5.2
x = -6
Q4.
Use your graph to find approximate solutions to the equation.
An image in a quiz
x = -1.2 and x = 5.2
Correct answer: x = 0 and x = 4
x = 0 and x = 6
Q5.
Use your graph to find approximate solutions to the equation.
An image in a quiz
Correct answer: x = -0.8 and x = 4.8
x = -1.2 and x = 5.2
x = -1.6 and x = 5.6