Quadratics Flashcards
How do you draw quadratic graphs?
By working out coordinates.
What is the quadratic function example provided?
y = x² + 1 for -3 ≤ x ≤ 3.
What are the coordinates for x = -3 in the graph of y = x² + 1?
(-3, 10)
What are the coordinates for x = 3 in the graph of y = x² + 1?
(3, 10)
What are the coordinates for x = -2 in the graph of y = x² + 1?
(-2, 5)
What are the coordinates for x = 2 in the graph of y = x² + 1?
(2, 5)
What are the coordinates for x = -1 in the graph of y = x² + 1?
(-1, 2)
What are the coordinates for x = 1 in the graph of y = x² + 1?
(1, 2)
What are the coordinates for x = 0 in the graph of y = x² + 1?
(0, 1)
What is the distributive law example provided?
(3x - 2)(5x + 6)
What is the expanded form of (3x - 2)(5x + 6)?
15x² + 8x - 12
How do you factorise a quadratic expression?
Set it in the form (x + a)(x + b).
What are the values of a and b for the expression x² + 7x - 8?
8 and -1
What is the factorised form of x² + 7x - 8?
(x + 8)(x - 1)
What is the factorised form of 25x² - 36?
(5x - 6)(5x + 6)
What is the method to solve a quadratic equation by factorisation?
Set the equation to zero and factor.
What are the solutions for the quadratic equation x² + x - 20 = 0?
-5 or 4
What is the quadratic equation example provided for practice?
x² + 3x + 2 = 0
Fill in the blank: The expanded form of (x + 2)(x + 3) is _______.
x² + 5x + 6
Fill in the blank: The expanded form of (x - 2)(x - 2) is _______.
x² - 4x + 4
Fill in the blank: The expanded form of (2x - 1)(x + 5) is _______.
2x² + 9x - 5
Fill in the blank: The expanded form of (x - 4)² is _______.
x² - 8x + 16
What is the factorisation of the expression 12 - 10x + 25?
(2x - 5)(2x + 5)
What is the solution for the equation 6x² - x - 1 = 0?
x = 1/3 or x = -1/2
