quadratic formula
Flashcard
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Wayground Content
FREE Resource
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15 questions
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1.
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 of the quadratic equation ax² + bx + c = 0.
Tags
CCSS.HSA-REI.B.4B
2.
FLASHCARD QUESTION
Front
What does it mean if a parabola opens upwards?
Back
A parabola opens upwards if the coefficient of x² (a) in the quadratic equation ax² + bx + c is positive.
Tags
CCSS.HSF-IF.C.7A
3.
FLASHCARD QUESTION
Front
What does it mean if a parabola opens downwards?
Back
A parabola opens downwards if the coefficient of x² (a) in the quadratic equation ax² + bx + c is negative.
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
What is the axis of symmetry in a parabola?
Back
The axis of symmetry is the vertical line that divides the parabola into two mirror-image halves and passes through the vertex.
6.
FLASHCARD QUESTION
Front
What are the possible types of solutions for a quadratic equation?
Back
A quadratic equation can have two real solutions, one real solution (a repeated root), or no real solutions (when the discriminant is negative).
Tags
CCSS.HSA-REI.B.4B
7.
FLASHCARD QUESTION
Front
What is the discriminant in the quadratic formula?
Back
The discriminant is the part of the quadratic formula under the square root, given by b² - 4ac, which determines the nature of the roots.
Tags
CCSS.HSA-REI.B.4B
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