Quadratic Function 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 function?
Back
The vertex form of a quadratic function is given by y = a(x - h)² + k, where (h, k) is the vertex of the parabola.
2.
FLASHCARD QUESTION
Front
How can you determine if a parabola opens upwards or downwards?
Back
A parabola opens upwards if the coefficient 'a' in the vertex form y = a(x - h)² + k is positive, and it opens downwards if 'a' is negative.
3.
FLASHCARD QUESTION
Front
What is the significance of the vertex in a quadratic function?
Back
The vertex represents the highest or lowest point of the parabola, depending on whether it opens downwards or upwards.
4.
FLASHCARD QUESTION
Front
What does the axis of symmetry represent in a parabola?
Back
The axis of symmetry is a vertical line that passes through the vertex, dividing the parabola into two mirror-image halves.
5.
FLASHCARD QUESTION
Front
How do you find the vertex from the vertex form of a quadratic function?
Back
In the vertex form y = a(x - h)² + k, the vertex is the point (h, k).
6.
FLASHCARD QUESTION
Front
What transformation does the equation y = (x - 3)² represent?
Back
It represents a horizontal shift of the graph 3 units to the right.
7.
FLASHCARD QUESTION
Front
What is the effect of changing the value of 'a' in the vertex form?
Back
Changing 'a' affects the width and direction of the parabola; larger absolute values of 'a' make the parabola narrower, while smaller values make it wider.
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