Solving Quadratics by Graphing
Flashcard
•
Mathematics
•
7th 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 to solve a quadratic equation by graphing?
Back
Solving a quadratic equation by graphing involves plotting the quadratic function on a coordinate plane and identifying the points where the graph intersects the x-axis, which represent the solutions.
3.
FLASHCARD QUESTION
Front
What are the key components of a quadratic equation?
Back
The key components are the coefficients a, b, and c, where a is the coefficient of x², b is the coefficient of x, and c is the constant term.
4.
FLASHCARD QUESTION
Front
How do you find the vertex of a quadratic function?
Back
The vertex can be found using the formula (-b/2a, f(-b/2a)), where f(x) is the quadratic function.
5.
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, given by the equation x = -b/2a.
6.
FLASHCARD QUESTION
Front
What is the significance of the discriminant in a quadratic equation?
Back
The discriminant (D = b² - 4ac) determines the nature of the roots: if D > 0, there are two real solutions; if D = 0, there is one real solution; if D < 0, there are no real solutions.
7.
FLASHCARD QUESTION
Front
How do you convert a quadratic equation to vertex form?
Back
A quadratic equation can be converted to vertex form y = a(x - h)² + k by completing the square.
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