Quadratics - 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 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 (upward if a > 0, downward if a < 0) and the width of the parabola (narrower if |a| > 1, wider if |a| < 1).
3.
FLASHCARD QUESTION
Front
How do you find the vertex from the vertex form?
Back
The vertex can be found directly from the vertex form y = a(x-h)² + k as (h, k).
4.
FLASHCARD QUESTION
Front
What is the effect of changing 'h' in the vertex form?
Back
Changing 'h' translates the parabola horizontally. If h is increased, the parabola moves to the right; if h is decreased, it moves to the left.
5.
FLASHCARD QUESTION
Front
What is the effect of changing 'k' in the vertex form?
Back
Changing 'k' translates the parabola vertically. If k is increased, the parabola moves up; if k is decreased, it moves down.
6.
FLASHCARD QUESTION
Front
What is the vertex of the parabola: y=2(x-3)²+4?
Back
The vertex is (3, 4).
7.
FLASHCARD QUESTION
Front
Explain the translation of the parabola: y = (x - 5)² - 1.
Back
The parabola is translated right 5 units and down 1 unit.
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