Pure 02 - Quadratics: Complete the Square Flashcards
1
Q
What is the main goal of Completing the Square?
A
Finding the minimum or maximum point of a quadratic curve.
2
Q
How do you complete the square for the quadratic expression x² - 10x?
A
(x - 5)² - 25
3
Q
How can you complete the square for x² - 8x + 7?
A
(x - 4)² - 9
4
Q
What is the first step in completing the square for 2x² + 8x + 3?
A
Factor out the coefficient of x²: 2(x² + 4x) + 3
5
Q
Complete the square for 2x² + 8x + 3.
A
2(x + 2)² - 5
6
Q
True or False: Completing the square is a technique used to find turning points of quadratic functions.
A
True
7
Q
Fill in the blank: By completing the square, the expression x² - 6x can be rearranged to make __________.
A
(x - 3)² - 9
8
Q
What is the minimum point found by completing the square for x² - 4x + 11?
A
The minimum point is (2, 7).
9
Q
A
10
Q
A
11
Q
A
12
Q
A
