Writing Quadratics from Vertex and from Points

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the vertex form of a quadratic function?
Back
The vertex form of a quadratic function is given by f(x) = 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 a quadratic function given in standard form?
Back
To find the vertex of a quadratic function in standard form y = ax² + bx + c, use the formula h = -b/(2a) for the x-coordinate, and then substitute h back into the function to find k.
3.
FLASHCARD QUESTION
Front
What is the significance of the vertex in a quadratic function?
Back
The vertex represents the highest or lowest point of the parabola, depending on whether it opens upwards or downwards.
4.
FLASHCARD QUESTION
Front
How can you convert a quadratic function from standard form to vertex form?
Back
To convert from standard form y = ax² + bx + c to vertex form, complete the square.
5.
FLASHCARD QUESTION
Front
What does the 'a' value in the vertex form of a quadratic function indicate?
Back
The 'a' value indicates the direction of the parabola (upward if a > 0, downward if a < 0) and affects the width of the parabola.
6.
FLASHCARD QUESTION
Front
What is the process to determine a quadratic function given its vertex and a point?
Back
Substitute the vertex coordinates into the vertex form to find 'a' using the given point, then write the function.
7.
FLASHCARD QUESTION
Front
What is the standard form of a quadratic function?
Back
The standard form of a quadratic function is y = ax² + bx + c.
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