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 equation?
Back
The vertex form of a quadratic equation 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' value in the vertex form indicate?
Back
The 'a' value determines the direction and width of the parabola. If 'a' is positive, the parabola opens upwards; if negative, it opens downwards.
3.
FLASHCARD QUESTION
Front
What is the axis of symmetry in a parabola?
Back
The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, passing through the vertex.
4.
FLASHCARD QUESTION
Front
How do you find the vertex from the vertex form equation?
Back
The vertex can be found directly from the vertex form f(x) = a(x - h)² + k as the point (h, k).
5.
FLASHCARD QUESTION
Front
What is the significance of the vertex in a parabola?
Back
The vertex is the highest or lowest point of the parabola, depending on whether it opens upwards or downwards.
6.
FLASHCARD QUESTION
Front
What are the x-intercepts of a parabola?
Back
The x-intercepts are the points where the parabola crosses the x-axis, found by setting f(x) = 0.
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 positive, the parabola has a minimum value at the vertex. If 'a' is negative, it has a maximum value.
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