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## Lesson details

### Key learning points

- In this lesson, we will learn how to sketch quadratics using intercepts of the y and x axis.

### 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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### 7 Questions

Q1.

Fill in the gap: ________ is the opposite of expanding.

Increasing

Quadratics

Solving

Q2.

Factorise x² + 14x + 24.

(x+3)(x+8)

(x+5)(x+6)

(x+6)(x+4)

Q3.

Cala says that you cannot factorise x² -9x + 8 because there does not exist a pair of factors for 8 that add to give a negative number. Is she correct?

Yes, Cala is correct, there DOES NOT exist a pair of factors of 8 that add to give a negative number.

Q4.

Factorise x² - 3x - 10.

(x+3)(x-1)

(x+5)(x-2)

(x+5)(x+2)

Q5.

Factorise x² - 9x + 14.

(x-7)(x+2)

(x+7)(x-2)

(x+7)(x+2)

Q6.

Factorise x² - 36.

(x-6)²

(x-6)6

(x+6)²

Q7.

A quadratic expression x² + bx - 20 can be factorised. Find all the possible values for b when b is negative.

-1, -20, -2, -10, -5, -4

-20 to -1

-21, -12, -9

### 6 Questions

Q1.

Select the words that best fill in the gaps in order: The __________ is where the curve crosses the y axis, when _______.

x intercept, x=0

x intercept, y=0

y intercept, y=0

Q2.

What are the coordinates of where y= x² + 14x + 24 crosses the y axis?

(0, 10)

(0, 14)

(24, 0)

24

Q3.

Where does y = x² - 3x - 10 cross the y axis?

(-3, -10)

(10, 3)

(3, 10)

Q4.

Which graph could be a sketch of y=(x+4)(x-3)?

Option A

Option B

Option C

Q5.

Which graph could be a sketch of -x² + 3x - 2? Hint Try out some coordinates to check!

Option A

Option B

Option D

Q6.

Zaki says y = x² + 1 will never cross either axes. Is that correct?

Zaki is correct, the curve will never cross either axes.

Zaki is incorrect the curve wil cross the x axis only.

Zaki is incorrect the curve will cross BOTH axes.