Writing Quadratic Equations

Flashcard
•
Mathematics
•
8th - 12th Grade
•
Hard
Standards-aligned
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15 questions
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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 and a ≠ 0.
2.
FLASHCARD QUESTION
Front
How do you convert a quadratic equation from vertex form to standard form?
Back
To convert from vertex form y = a(x - h)² + k to standard form, expand the equation: y = a(x² - 2hx + h²) + k, then simplify to y = ax² + bx + c.
3.
FLASHCARD QUESTION
Front
What are the x-intercepts of a quadratic function?
Back
The x-intercepts of a quadratic function are the points where the graph intersects the x-axis, found by solving the equation y = 0.
Tags
CCSS.HSF-IF.C.7A
4.
FLASHCARD QUESTION
Front
What is the vertex of a parabola?
Back
The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards.
5.
FLASHCARD QUESTION
Front
How can you find the vertex from the standard form of a quadratic equation?
Back
The vertex (h, k) can be found using the formula h = -b/(2a) and then substituting h back into the equation to find k.
6.
FLASHCARD QUESTION
Front
What does the 'a' value in a quadratic equation indicate about the graph?
Back
The 'a' value determines the direction of the parabola: if a > 0, it opens upwards; if a < 0, it opens downwards.
Tags
CCSS.HSF-IF.C.7A
7.
FLASHCARD QUESTION
Front
What are the factors of a quadratic equation?
Back
Factors of a quadratic equation are the expressions that can be multiplied to give the quadratic equation, typically in the form (x - r)(x - s) where r and s are the roots.
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