Solving Quadratic Equations by Graphing
Flashcard
•
Mathematics
•
8th - 9th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a quadratic equation?
Back
A quadratic equation is a polynomial equation of the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.
2.
FLASHCARD QUESTION
Front
What does it mean for a quadratic equation to have no real solutions?
Back
It means that the graph of the quadratic does not intersect the x-axis, indicating that the solutions are complex numbers.
3.
FLASHCARD QUESTION
Front
How can you determine the number of solutions of a quadratic equation by graphing?
Back
By observing the number of times the graph intersects the x-axis: 0 intersections means no real solutions, 1 intersection means one real solution, and 2 intersections mean two real solutions.
4.
FLASHCARD QUESTION
Front
What are the roots of a quadratic equation?
Back
The roots are the values of x that make the quadratic equation equal to zero; they are the x-intercepts of the graph.
5.
FLASHCARD QUESTION
Front
What is the vertex of a quadratic function?
Back
The vertex is the highest or lowest point on the graph of the quadratic function, depending on the direction of the parabola.
6.
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, passing through the vertex.
7.
FLASHCARD QUESTION
Front
What is the significance of the y-intercept in a quadratic function?
Back
The y-intercept is the point where the graph intersects the y-axis, representing the value of the function when x = 0.
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