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?
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?
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?
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?
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?
x = -1.5
x = 2 and x = -4.5
x= -10
Q2.
What is the y-intercept of the quadratic equation?
(-10,0)
(0,-10)
(10,0)
Q3.
What is the y-intercept?
(0,-36)
(0,-6)
(0,6)
Q4.
What are the roots of this equation?
x = -4 and x = -9
x = 6
x= 4 and x = 9
Q5.
What are the roots of this equation?
x = -4 and x = -10
x = 4 and x = 10
x= 5 and x = 9