Vertex Form
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
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 given by y = 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 indicates 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 y = a(x - h)² + k?
Back
The vertex is the point (h, k) in the equation.
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, dividing it into two mirror-image halves.
5.
FLASHCARD QUESTION
Front
How do you determine the roots of a quadratic equation in vertex form?
Back
To find the roots, set y = 0 and solve for x in the equation y = a(x - h)² + k.
6.
FLASHCARD QUESTION
Front
What is the significance of the y-intercept in a quadratic function?
Back
The y-intercept is the point where the graph intersects the y-axis, found by evaluating the function at x = 0.
7.
FLASHCARD QUESTION
Front
What does it mean if a parabola opens downwards?
Back
If a parabola opens downwards, it has a maximum point at the vertex, and the 'a' value in the vertex form is negative.
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