Solve Quadratics by Graphing
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
+1
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 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 x-intercepts of a graph?
Back
The x-intercepts of a graph are the points where the graph crosses the x-axis, indicating the values of x for which the function equals zero.
4.
FLASHCARD QUESTION
Front
How can you find the vertex of a quadratic function?
Back
The vertex of a quadratic function in the form y = ax² + bx + c can be found using the formula x = -b/(2a). The y-coordinate can be found by substituting this x value back into the function.
5.
FLASHCARD QUESTION
Front
What is the significance of the discriminant in a quadratic equation?
Back
The discriminant, given by the formula D = b² - 4ac, determines the nature of the roots of the quadratic equation: if D > 0, there are two distinct real roots; if D = 0, there is one real root; if D < 0, there are no real roots.
Tags
CCSS.HSA-REI.B.4B
6.
FLASHCARD QUESTION
Front
What are the solutions of the equation x² + 12x + 35 = 0?
Back
The solutions are x = -5 and x = -7.
Tags
CCSS.HSA-REI.B.4B
7.
FLASHCARD QUESTION
Front
How do you solve the equation x² + 44 = -15x?
Back
Rearranging gives x² + 15x + 44 = 0. The solutions are x = -11 and x = -4.
Tags
CCSS.HSA-REI.B.4B
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