Year 9

Year 9

# Sketching quadratic graphs (Part 1)

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## Lesson details

### Key learning points

1. 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.

## Video

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## Worksheet

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## Starter quiz

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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
Correct answer: 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
Correct answer: x= -6 and x = -7
Q4.
what are the solutions to the quadratic equation in question c?
x = -3 or x = 7
x = -4 or x = 4
Correct answer: x = 4 or x = -8
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
Correct answer: x= 1 and x = -7

## Exit quiz

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### 5 Questions

Q1.
What are the roots of the quadratic equation?
x = -1.5
x = 2 and x = -4.5
Correct answer: x = 2 and x = -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)