What is the vertex form of a parabola?
Graphing Parabolas in Vertex Form Practice

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Mathematics
•
12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The vertex form of a parabola is given by the equation y = a(x - h)² + k, where (h, k) is the vertex of the parabola.
2.
FLASHCARD QUESTION
Front
How do you identify the vertex from the vertex form equation?
Back
In the equation y = a(x - h)² + k, the vertex is the point (h, k).
3.
FLASHCARD QUESTION
Front
What does the 'a' value in the vertex form indicate about the parabola?
Back
The 'a' value indicates the direction of the parabola (upward if a > 0, downward if a < 0) and the width of the parabola (narrower if |a| > 1, wider if |a| < 1).
4.
FLASHCARD QUESTION
Front
What is the axis of symmetry for a parabola in vertex form?
Back
The axis of symmetry is the vertical line x = h, where (h, k) is the vertex.
5.
FLASHCARD QUESTION
Front
How can you determine if a parabola opens upwards or downwards?
Back
If the 'a' value in the vertex form y = a(x - h)² + k is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.
6.
FLASHCARD QUESTION
Front
What is the maximum or minimum value of a parabola in vertex form?
Back
The maximum or minimum value occurs at the vertex (h, k). If 'a' is positive, the vertex is a minimum; if 'a' is negative, the vertex is a maximum.
7.
FLASHCARD QUESTION
Front
How do you find the y-intercept of a parabola in vertex form?
Back
To find the y-intercept, set x = 0 in the vertex form equation and solve for y.
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