Quadratics- Vertex form

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•
Mathematics
•
9th 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
How do you identify the vertex from the vertex form?
Back
The vertex (h, k) can be directly identified from the vertex form f(x) = a(x-h)² + 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: if a > 0, it opens upwards; if a < 0, it opens downwards.
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
How can you find the y-intercept of a quadratic function in vertex form?
Back
To find the y-intercept, set x = 0 in the vertex form equation and solve for f(0).
6.
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 up or down.
7.
FLASHCARD QUESTION
Front
If f(x) = 4(x-2)² + 3, what is the vertex?
Back
The vertex is (2, 3).
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