Vertex to Standard Form
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the standard form of a quadratic equation?
Back
The standard form of a quadratic equation is y = ax² + bx + c, where a, b, and c are constants.
2.
FLASHCARD QUESTION
Front
What is the shape of the graph of a quadratic function called?
Back
The U-shaped graph of a quadratic function is called a Parabola.
3.
FLASHCARD QUESTION
Front
What is the vertex of a quadratic function?
Back
The vertex is the highest or lowest point of the parabola, depending on the direction it opens.
4.
FLASHCARD QUESTION
Front
How do you identify the vertex from the vertex form of a quadratic equation?
Back
In vertex form, y = a(x - h)² + k, the vertex is the point (h, k).
5.
FLASHCARD QUESTION
Front
What does the 'a' in the standard form of a quadratic equation indicate?
Back
The 'a' value determines the direction of the parabola (upward if a > 0, downward if a < 0) and its width.
6.
FLASHCARD QUESTION
Front
What is the axis of symmetry in a quadratic function?
Back
The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by x = -b/(2a).
7.
FLASHCARD QUESTION
Front
What is the difference between standard form and vertex form of a quadratic equation?
Back
Standard form is y = ax² + bx + c, while vertex form is y = a(x - h)² + k, which makes it easier to identify the vertex.
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