Graphing Quadratics in Vertex Form
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
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15 questions
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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 determines 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 axis of symmetry from the vertex form?
Back
The axis of symmetry can be found using the formula x = h, where (h, k) is the vertex of the parabola.
4.
FLASHCARD QUESTION
Front
What is the vertex of the parabola given by the equation y = 2(x + 3)² - 5?
Back
The vertex is (-3, -5).
5.
FLASHCARD QUESTION
Front
What is the significance of the axis of symmetry in a parabola?
Back
The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves.
6.
FLASHCARD QUESTION
Front
How do you convert from standard form to vertex form?
Back
To convert from standard form (y = ax² + bx + c) to vertex form, complete the square.
7.
FLASHCARD QUESTION
Front
What are the x-intercepts of the parabola y = (x - 2)(x + 4)?
Back
The x-intercepts are x = 2 and x = -4.
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