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Yr11 Factorising & Quadratic functions

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Last updated almost 2 years ago
20 questions
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Question 1
1.

Factorise the quadratic equation x^2 + 7x + 10.

Question 2
2.

What is the factorised form of x^2 + 5x + 6?

Question 3
3.

Factorise the quadratic expression x^2 - x - 20.

Question 4
4.

Factorise the following expression: 3x^2 - 12x

Question 5
5.

Rewrite the quadratic equation 3x^2 - 18x = 0 in its factorised form

Question 6
6.

Match the quadratic functions to their factorised forms.

Draggable itemarrow_right_altCorresponding Item
y = x² - x - 2
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y = (x - 2)(x - 5)
y = x² - 7x + 10
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y = (x + 3)²
y = x² + 2x - 3
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y = (x - 1)(x + 3)
y = x² + 6x + 9
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y = (x - 2)(x + 1)
Question 7
7.

Match the quadratic equations with their roots.

Draggable itemarrow_right_altCorresponding Item
x² + 7x + 10 = 0
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-2, -5
x² - 5x + 6 = 0
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4, -5
x² - 4x - 5 = 0
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2, 3
x² + x - 20 = 0
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5, -1
Question 8
8.

Determine if the quadratic function f(x) = -x^2 + 4x - 5 is concave up or concave down

Question 9
9.

Find the y-intercept by factorising the equation y = 3x² + 5x - 2.

Question 10
10.

What is the y-intercept of the quadratic function f(x) = x² - 6x + 9?

Question 11
11.

Identify the y-intercept for the quadratic equation y = -2x² + 4x + 1.

Question 12
12.

Determine the y-intercept in the quadratic function y = 5x² - 3x + 7.

Question 13
13.

Find the axis of symmetry for the quadratic function y = x^2 + 2x - 3.

Question 14
14.

What is the axis of symmetry of y = -2x^2 + 8x - 5?

Question 15
15.

Identify the axis of symmetry of the equation y = 3x^2 - 6x + 2.

Question 16
16.

Locate the axis of symmetry for y = -3x^2 + 12x - 7.

Question 17
17.

Find the vertex of the quadratic function y = x^2 + 6x + 8.

Question 18
18.

Identify the vertex of y = -2x^2 + 4x - 3.

Question 19
19.

What are the coordinates of the vertex for the quadratic y = 3x^2 - 18x + 20?

Question 20
20.

In factorising, one can always take a common factor out of an expression to simplify it