Standard Form to Vertex Form

Flashcard
•
Mathematics
•
9th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the standard form of a quadratic function?
Back
The standard form of a quadratic function is f(x) = ax² + bx + c, where a, b, and c are constants.
2.
FLASHCARD QUESTION
Front
What is vertex form of a quadratic function?
Back
The vertex form of a quadratic function is f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola.
3.
FLASHCARD QUESTION
Front
How do you convert from standard form to vertex form?
Back
To convert from standard form to vertex form, complete the square on the quadratic expression.
4.
FLASHCARD QUESTION
Front
What is the vertex of the function f(x) = (x - 4)² - 15?
Back
The vertex of the function is (4, -15).
5.
FLASHCARD QUESTION
Front
What does the 'a' value in vertex form indicate?
Back
The 'a' value indicates the direction of the parabola (upward if a > 0, downward if a < 0) and its width.
6.
FLASHCARD QUESTION
Front
What is the axis of symmetry for the function f(x) = x² - 8x + 1?
Back
The axis of symmetry is x = 4, which is found using the formula x = -b/(2a).
7.
FLASHCARD QUESTION
Front
Convert f(x) = 4x² - 32x + 2 to vertex form.
Back
f(x) = 4(x - 4)² - 62.
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