Solving quadratic equations graphically

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.

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
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(-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
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Correct answer: -10
-3
0
Q4.
Find the value of y when x = 4
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18
398
Correct answer: 78
Q5.
Find the value of y when x = -3
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-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.
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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.
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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.
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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.
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Correct answer: x = -0.8 and x = 4.8
x = -1.2 and x = 5.2
x = -1.6 and x = 5.6

Lesson appears in

UnitMaths / Quadratic equations (9.10)