Vertex Form

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•
Mathematics
•
8th - 12th Grade
•
Hard
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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 f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola.
2.
FLASHCARD QUESTION
Front
What does the 'a' in the vertex form indicate about the parabola?
Back
The 'a' value determines the direction of the parabola: if 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.
3.
FLASHCARD QUESTION
Front
How do you find the vertex from the vertex form equation?
Back
The vertex (h, k) can be found directly from the vertex form f(x) = a(x - h)² + k.
4.
FLASHCARD QUESTION
Front
What is the axis of symmetry in a parabola?
Back
The axis of symmetry is a vertical line that passes through the vertex of the parabola, given by the equation x = h.
5.
FLASHCARD QUESTION
Front
What is a parabola?
Back
A parabola is the graph of a quadratic function, which is U-shaped and can open upwards or downwards.
6.
FLASHCARD QUESTION
Front
What is the maximum or minimum value of a parabola?
Back
The maximum value occurs at the vertex if the parabola opens downwards; the minimum value occurs at the vertex if it opens upwards.
7.
FLASHCARD QUESTION
Front
How do you determine if a parabola has a maximum or minimum value?
Back
If 'a' in the vertex form is negative, the parabola has a maximum value; if 'a' is positive, it has a minimum value.
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