Completing The Square Practice
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the vertex form of a quadratic equation?
Back
The vertex form of a quadratic equation is given by y = a(x - h)² + k, where (h, k) is the vertex of the parabola.
2.
FLASHCARD QUESTION
Front
How do you find the vertex of the equation y = (x + 7)² + 3?
Back
The vertex is (-7, 3). This is derived from the vertex form where h = -7 and k = 3.
3.
FLASHCARD QUESTION
Front
What is the process to complete the square for the expression x² + 8x + c?
Back
To complete the square, take half of the coefficient of x (which is 8), square it (4² = 16), and add it to c.
4.
FLASHCARD QUESTION
Front
What value of c completes the square for x² + 8x + c?
Back
The value of c that completes the square is 16.
5.
FLASHCARD QUESTION
Front
What are the roots of the equation v² + 2v - 23 = 0?
Back
The roots are {-1 + 2√6, -1 - 2√6}.
6.
FLASHCARD QUESTION
Front
How do you solve the equation n² - 4n + 71 = 4?
Back
First, rearrange it to n² - 4n + 67 = 0, then use the quadratic formula or complete the square to find the roots.
7.
FLASHCARD QUESTION
Front
What is the significance of the b value in completing the square?
Back
The b value is halved and squared to find the constant term needed to complete the square.
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