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.

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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