Solve Quadratics by Graphing
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
Standards-aligned
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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 are the standard forms of a quadratic equation?
Back
The standard form is y = ax² + bx + c, and the factored form is y = a(x - r₁)(x - r₂), where r₁ and r₂ are the roots.
3.
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 x-intercepts, which represent the solutions.
4.
FLASHCARD QUESTION
Front
What are the x-intercepts of a quadratic function?
Back
The x-intercepts are the points where the graph of the quadratic function crosses the x-axis, corresponding to the solutions of the equation.
Tags
CCSS.HSF-IF.C.7A
5.
FLASHCARD QUESTION
Front
How can 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.
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, given by the equation x = -b/2a.
7.
FLASHCARD QUESTION
Front
What is the discriminant of a quadratic equation?
Back
The discriminant is the part of the quadratic formula under the square root, given by D = b² - 4ac, which determines the nature of the roots.
Tags
CCSS.HSA-REI.B.4B
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