Complete the Square Flashcard #4
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the formula to complete the square for a quadratic expression?
Back
To complete the square for a quadratic expression of the form ax^2 + bx + c, use the formula: (b/2a)^2.
2.
FLASHCARD QUESTION
Front
What is the vertex form of a quadratic equation?
Back
The vertex form of a quadratic equation is y = a(x - h)^2 + k, where (h, k) is the vertex.
3.
FLASHCARD QUESTION
Front
How do you find the vertex of a parabola given in standard form?
Back
For a parabola in standard form y = ax^2 + bx + c, the vertex can be found using the formula: (h, k) where h = -b/(2a) and k = f(h).
4.
FLASHCARD QUESTION
Front
What is the significance of the vertex in a parabola?
Back
The vertex represents the highest or lowest point of the parabola, depending on the direction it opens.
5.
FLASHCARD QUESTION
Front
How do you convert a quadratic equation from standard form to vertex form?
Back
To convert from standard form y = ax^2 + bx + c to vertex form, complete the square.
6.
FLASHCARD QUESTION
Front
What is the value that completes the square for the expression x^2 + 10x?
Back
The value that completes the square is 25.
7.
FLASHCARD QUESTION
Front
What is the vertex of the parabola given by y = x^2 - 2x + 4?
Back
The vertex of the parabola is (1, 3).
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