Completing Square Method
Flashcard
•
Mathematics
•
9th - 11th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the Completing Square Method?
Back
A technique used to convert a quadratic expression into a perfect square trinomial plus a constant.
2.
FLASHCARD QUESTION
Front
How do you complete the square for the expression x² + 4x + 10?
Back
Rewrite as (x + 2)² + 6.
3.
FLASHCARD QUESTION
Front
What is the vertex form of a quadratic equation?
Back
The vertex form is y = a(x - h)² + k, where (h, k) is the vertex.
4.
FLASHCARD QUESTION
Front
What value of c makes x² + 8x + c a perfect square trinomial?
Back
c = 16.
5.
FLASHCARD QUESTION
Front
How do you find the vertex of the quadratic equation y = 2(x + 3)² + 4?
Back
The vertex is (-3, 4).
6.
FLASHCARD QUESTION
Front
What is a perfect square trinomial?
Back
A trinomial that can be expressed as the square of a binomial, e.g., (x + a)².
7.
FLASHCARD QUESTION
Front
How do you convert the expression x² + 10x + 13 into completed square form?
Back
Rewrite as (x + 5)² - 12.
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