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
How do you find the vertex from the vertex form equation y = a(x - h)² + k?
Back
The vertex of the parabola is the point (h, k).
3.
FLASHCARD QUESTION
Front
What does the 'a' in the vertex form equation y = a(x - h)² + k represent?
Back
The 'a' value determines the direction and width of the parabola. If 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.
4.
FLASHCARD QUESTION
Front
What is the effect of changing the value of 'a' in the vertex form equation?
Back
Changing 'a' affects the width of the parabola. Larger absolute values of 'a' make the parabola narrower, while smaller absolute values make it wider.
5.
FLASHCARD QUESTION
Front
How do you convert the standard form of a quadratic equation to vertex form?
Back
To convert from standard form (y = ax² + bx + c) to vertex form, complete the square.
6.
FLASHCARD QUESTION
Front
What is the vertex of the parabola given by the equation y = 3(x + 5)² - 4?
Back
The vertex is (-5, -4).
7.
FLASHCARD QUESTION
Front
What causes the graph of y = x² to open downward?
Back
The graph opens downward when the coefficient of x² is negative.
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