Solving Quadratics by Graphing and Factoring
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
+2
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What are the zeros of a quadratic function?
Back
The zeros of a quadratic function are the values of x for which the function equals zero. They are the x-intercepts of the graph.
Tags
CCSS.HSA-SSE.B.3B
CCSS.HSF-IF.C.8A
2.
FLASHCARD QUESTION
Front
How do you find the zeros of a quadratic function by graphing?
Back
To find the zeros by graphing, plot the quadratic function on a coordinate plane and identify the points where the graph intersects the x-axis.
Tags
CCSS.HSF-IF.C.7A
3.
FLASHCARD QUESTION
Front
What is factoring in the context of solving quadratics?
Back
Factoring is the process of rewriting a quadratic equation in the form (x - p)(x - q) = 0, where p and q are the zeros of the function.
Tags
CCSS.HSA-REI.B.4B
4.
FLASHCARD QUESTION
Front
What is the standard form of a quadratic equation?
Back
The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.
5.
FLASHCARD QUESTION
Front
What does the vertex of a parabola represent?
Back
The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards.
6.
FLASHCARD QUESTION
Front
How can you determine the direction of a parabola?
Back
The direction of a parabola is determined by the sign of the coefficient 'a' in the quadratic equation. If 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.
Tags
CCSS.HSF-IF.C.7A
7.
FLASHCARD QUESTION
Front
What is the quadratic formula?
Back
The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the solutions of a quadratic equation.
Tags
CCSS.HSA-REI.B.4B
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