Roots, solutions, zeros from quadratic graph
Flashcard
•
Mathematics
•
8th Grade
•
Hard
+1
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 roots of a quadratic equation?
Back
The roots of a quadratic equation can be found using factoring, completing the square, or the quadratic formula: x = (-b ± √(b²-4ac)) / 2a.
Tags
CCSS.HSA-REI.B.4B
3.
FLASHCARD QUESTION
Front
What is the relationship between zeros and x-intercepts?
Back
Zeros and x-intercepts refer to the same points on the graph of a quadratic function where the graph crosses the x-axis.
Tags
CCSS.HSF-IF.C.7A
4.
FLASHCARD QUESTION
Front
What does it mean if a quadratic function has two distinct real zeros?
Back
It means the graph of the quadratic function intersects the x-axis at two different points.
Tags
CCSS.HSF-IF.C.7A
5.
FLASHCARD QUESTION
Front
What does it mean if a quadratic function has one real zero?
Back
It means the graph of the quadratic function touches the x-axis at one point (the vertex) and does not cross it.
Tags
CCSS.HSF-IF.C.7A
6.
FLASHCARD QUESTION
Front
What does it mean if a quadratic function has no real zeros?
Back
It means the graph of the quadratic function does not intersect the x-axis at all, indicating that the solutions are complex numbers.
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 roots of a quadratic equation ax² + bx + c = 0.
Tags
CCSS.HSA-REI.B.4B
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