Yr11 Factorising & Quadratic functions
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Last updated over 1 year ago
20 questions
1
Factorise the quadratic equation x^2 + 7x + 10.
Factorise the quadratic equation x^2 + 7x + 10.
1
What is the factorised form of x^2 + 5x + 6?
What is the factorised form of x^2 + 5x + 6?
1
Factorise the quadratic expression x^2 - x - 20.
Factorise the quadratic expression x^2 - x - 20.
1
Factorise the following expression: 3x^2 - 12x
Factorise the following expression: 3x^2 - 12x
1
Rewrite the quadratic equation 3x^2 - 18x = 0 in its factorised form
Rewrite the quadratic equation 3x^2 - 18x = 0 in its factorised form
1
Match the quadratic functions to their factorised forms.
Match the quadratic functions to their factorised forms.
| Draggable item | arrow_right_alt | Corresponding Item |
|---|---|---|
y = x² - x - 2 | arrow_right_alt | y = (x - 2)(x - 5) |
y = x² + 6x + 9 | arrow_right_alt | y = (x + 3)² |
y = x² - 7x + 10 | arrow_right_alt | y = (x - 1)(x + 3) |
y = x² + 2x - 3 | arrow_right_alt | y = (x - 2)(x + 1) |
1
Match the quadratic equations with their roots.
Match the quadratic equations with their roots.
| Draggable item | arrow_right_alt | Corresponding Item |
|---|---|---|
x² + x - 20 = 0 | arrow_right_alt | -2, -5 |
x² - 5x + 6 = 0 | arrow_right_alt | 4, -5 |
x² + 7x + 10 = 0 | arrow_right_alt | 2, 3 |
x² - 4x - 5 = 0 | arrow_right_alt | 5, -1 |
1
Determine if the quadratic function f(x) = -x^2 + 4x - 5 is concave up or concave down
Determine if the quadratic function f(x) = -x^2 + 4x - 5 is concave up or concave down
1
Find the y-intercept by factorising the equation y = 3x² + 5x - 2.
Find the y-intercept by factorising the equation y = 3x² + 5x - 2.
1
What is the y-intercept of the quadratic function f(x) = x² - 6x + 9?
What is the y-intercept of the quadratic function f(x) = x² - 6x + 9?
1
Identify the y-intercept for the quadratic equation y = -2x² + 4x + 1.
Identify the y-intercept for the quadratic equation y = -2x² + 4x + 1.
1
Determine the y-intercept in the quadratic function y = 5x² - 3x + 7.
Determine the y-intercept in the quadratic function y = 5x² - 3x + 7.
1
Find the axis of symmetry for the quadratic function y = x^2 + 2x - 3.
Find the axis of symmetry for the quadratic function y = x^2 + 2x - 3.
1
What is the axis of symmetry of y = -2x^2 + 8x - 5?
What is the axis of symmetry of y = -2x^2 + 8x - 5?
1
Identify the axis of symmetry of the equation y = 3x^2 - 6x + 2.
Identify the axis of symmetry of the equation y = 3x^2 - 6x + 2.
1
Locate the axis of symmetry for y = -3x^2 + 12x - 7.
Locate the axis of symmetry for y = -3x^2 + 12x - 7.
1
Find the vertex of the quadratic function y = x^2 + 6x + 8.
Find the vertex of the quadratic function y = x^2 + 6x + 8.
1
Identify the vertex of y = -2x^2 + 4x - 3.
Identify the vertex of y = -2x^2 + 4x - 3.
1
What are the coordinates of the vertex for the quadratic y = 3x^2 - 18x + 20?
What are the coordinates of the vertex for the quadratic y = 3x^2 - 18x + 20?
1
In factorising, one can always take a common factor out of an expression to simplify it
In factorising, one can always take a common factor out of an expression to simplify it