Solving Quadratics by graphing

Flashcard
•
Mathematics
•
10th - 11th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a quadratic function?
Back
A quadratic function is a polynomial function of degree 2, typically written in the form f(x) = ax² + bx + c, where a, b, and c are constants and a ≠ 0.
2.
FLASHCARD QUESTION
Front
What is the standard form of a quadratic equation?
Back
The standard form of a quadratic equation is ax² + bx + c = 0.
3.
FLASHCARD QUESTION
Front
What does the graph of a quadratic function look like?
Back
The graph of a quadratic function is a parabola, which can open upwards or downwards depending on the sign of the coefficient 'a'.
Tags
CCSS.HSF-IF.C.7A
4.
FLASHCARD QUESTION
Front
What are the x-intercepts of a quadratic function?
Back
The x-intercepts of a quadratic function are the points where the graph crosses the x-axis, also known as the zeros or roots of the function.
Tags
CCSS.HSF-IF.C.7A
5.
FLASHCARD QUESTION
Front
How can you determine the number of solutions a quadratic equation has?
Back
The number of solutions can be determined using the discriminant (D = b² - 4ac). If D > 0, there are two real solutions; if D = 0, there is one real solution; if D < 0, there are no real solutions.
Tags
CCSS.HSA-REI.B.4B
6.
FLASHCARD QUESTION
Front
What is the vertex of a parabola?
Back
The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards.
7.
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 formula x = -b/(2a).
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