Year 9
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
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707166029%2Fyuqsxqcphq37rchggaee.png&w=640&q=75)
(-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.
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707166034%2Fc5xsmyh6ssq2ca8yj5wr.png&w=384&q=75)
0
2
Q3.
Find the value of y when x = 0
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707166045%2Fkn1ydhbq0syuvfnflals.png&w=1200&q=75)
-3
0
Q4.
Find the value of y when x = 4
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707166056%2Far8h6vfwb6exncdwcfmz.png&w=1200&q=75)
18
398
Q5.
Find the value of y when x = -3
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707166074%2Fcyfn8idjhu8ncyj3x4yb.png&w=1200&q=75)
-49
239
41
5 Questions
Q1.
Use your graph to find approximate solutions to the equation.
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707163739%2Fznwehx6canfqwxztxckw.png&w=384&q=75)
x = -0.5 and x = 4.5
x = -6
Q2.
Use your graph to find approximate solutions to the equation.
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707163741%2Frobycbhzpo1fdzmjuirg.png&w=384&q=75)
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.
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707163746%2Fxqbz50amhzsrsekoac5d.png&w=384&q=75)
x = -0.4 and x = 4.4
x = -6
Q4.
Use your graph to find approximate solutions to the equation.
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707163749%2Ffur9nbb57p62kh4uqs6w.png&w=384&q=75)
x = -1.2 and x = 5.2
x = 0 and x = 6
Q5.
Use your graph to find approximate solutions to the equation.
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707163762%2Fjtrokfa3pzzj8b8ps8yi.png&w=384&q=75)
x = -1.2 and x = 5.2
x = -1.6 and x = 5.6