Year 9
Sketching quadratic graphs (Part 2)
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Lesson details
Key learning points
- In this lesson, we will use the shape, roots and y-intercept to sketch the graph.
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.
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%2Fv1707169679%2Fdvriefspbuvdr4e27h56.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%2Fv1707169691%2Flqp7czrdgfqqu5twt2an.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%2Fv1707169694%2Fu3slcnkitrtddnxwhhe1.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%2Fv1707169696%2Feb1yvorq70nlzfntu6ht.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%2Fv1707169711%2Ffclcfejede7y8ni8gudq.png&w=1080&q=75)
x = -4 and x = -10
x = 4 and x = 10
x= 5 and x = 9
5 Questions
Q1.
What are the roots of this graph
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707152525%2Fura9l8zr1fbvd9uw8oee.png&w=828&q=75)
Others
x = -8
x = 2 and x = -4
Q2.
What is the y-intercept?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707152486%2Fmty1qfcmlkchp0jlbcro.png&w=828&q=75)
y = -2
y = -4
Q3.
What is the equation of this graph?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707152514%2Fwbo4eeo8nstll4wk6c0q.png&w=828&q=75)
B
C
D
Q4.
Which graphs shows y = x^2 + 6x + 8
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707152573%2Fo9utgeuweccbrs5tnc3k.png&w=384&q=75)
g (blue)
Q5.
Which line is correct?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707152894%2Fcfiee4rkf7whhri4b0mw.png&w=750&q=75)
roots are x=0 and x = -81, y intercept is 0
roots are x=0 and x = 81, y intercept is 81
roots are x=9 and x = -9, y intercept is 81