Quadratic Equations
Flashcard
•
Mathematics
•
8th - 9th Grade
•
Practice Problem
•
Hard
+2
Standards-aligned
Wayground Content
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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 can be found by factoring, using the quadratic formula, or graphing.
Tags
CCSS.HSA-SSE.B.3B
CCSS.HSF-IF.C.8A
2.
FLASHCARD QUESTION
Front
What is the quadratic formula?
Back
The quadratic formula is given by x = (-b ± √(b² - 4ac)) / (2a), where a, b, and c are coefficients from the quadratic equation ax² + bx + c = 0.
Tags
CCSS.HSA-REI.B.4B
3.
FLASHCARD QUESTION
Front
How do you find the y-intercept of a quadratic function?
Back
The y-intercept of a quadratic function is found by evaluating the function at x = 0. It is the point where the graph intersects the y-axis.
Tags
CCSS.HSF-IF.C.7A
4.
FLASHCARD QUESTION
Front
What does it mean if a quadratic equation has no real solutions?
Back
If a quadratic equation has no real solutions, it means that the discriminant (b² - 4ac) is less than zero, indicating that the graph does not intersect the x-axis.
Tags
CCSS.HSA-REI.B.4B
5.
FLASHCARD QUESTION
Front
How can you solve a quadratic equation by factoring?
Back
To solve a quadratic equation by factoring, express the equation in the form (x - p)(x - q) = 0, where p and q are the roots, and then set each factor equal to zero.
Tags
CCSS.HSA-REI.B.4B
6.
FLASHCARD QUESTION
Front
What is the vertex of a quadratic function?
Back
The vertex of a quadratic function is the highest or lowest point on the graph, depending on the direction of the parabola. It can be found using the formula (-b/(2a), f(-b/(2a))).
7.
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. It can be found using the formula x = -b/(2a).
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