Year 9
Sketching quadratic graphs (Part 1)
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Lesson details
Key learning points
- In this lesson, we will learn how to determine the shape, roots and y-intercept of a graph from an equation.
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.
A quadratic equation must have two solutions. True or false?
True
Q2.
what are the solutions to the quadratic equation in question a?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707154402%2Fofv1efvj6papajadswro.png&w=640&q=75)
x = -3 or x = -15
x = -5 or x = -9
x= - 15 and x = -3
Q3.
what are the solutions to the quadratic equation in question b?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707154404%2Fmk9kz53azwolf9jbw3be.png&w=640&q=75)
x = -14 or x = -3
x = 14 or x = 3
x = 6 or x = 7
Q4.
what are the solutions to the quadratic equation in question c?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707154446%2Fepv9pcbebvy70homdqwq.png&w=640&q=75)
x = -3 or x = 7
x = -4 or x = 4
x= 3 and x = -7
Q5.
what are the solutions to the quadratic equation in question d?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707154486%2Frbp6gekolwjbch8itn7m.png&w=640&q=75)
x = -1 or x = 7
x = 0 or x = -6
x = 0 or x = 6
5 Questions
Q1.
What are the roots of the quadratic equation?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707205844%2Fp34pfl7y6ohbu3odo4v1.png&w=384&q=75)
x = -1.5
x = 2 and x = -4.5
x= -10
Q2.
What is the y-intercept of the quadratic equation?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707205848%2Fxo5d33azht1dvl6mggmb.png&w=384&q=75)
(-10,0)
(0,-10)
(10,0)
Q3.
What is the y-intercept?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707205854%2Fazci7aq7aisgmfqnqmmu.png&w=828&q=75)
(0,-36)
(0,-6)
(0,6)
Q4.
What are the roots of this equation?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707205858%2Finypwp6r3p0iblxxqgbe.png&w=828&q=75)
x = -4 and x = -9
x = 6
x= 4 and x = 9
Q5.
What are the roots of this equation?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707205860%2Fgo1djnge5swoux7mkr5n.png&w=1080&q=75)
x = -4 and x = -10
x = 4 and x = 10
x= 5 and x = 9