What is the vertex of a parabola and how can you determine if it opens up or down?
Alg1B QTR 2 Benchmark Rev Topics 1-9

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Mathematics
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7th - 10th Grade
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Hard
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1.
FLASHCARD QUESTION
Front
Back
The vertex of a parabola is the highest or lowest point on the graph. If the coefficient of the squared term is positive, the parabola opens up; if negative, it opens down.
2.
FLASHCARD QUESTION
Front
What is a rational number? Give an example.
Back
A rational number is any number that can be expressed as the quotient or fraction of two integers. Example: 1/4.
3.
FLASHCARD QUESTION
Front
How do you find the y-intercept of a function?
Back
To find the y-intercept of a function, set x = 0 and solve for y.
4.
FLASHCARD QUESTION
Front
What does the transformation g(x) = f(x) + k represent?
Back
The transformation g(x) = f(x) + k represents a vertical shift of the graph of f(x) by k units. If k is positive, the graph shifts up; if negative, it shifts down.
5.
FLASHCARD QUESTION
Front
What does it mean if two equations have no solution?
Back
If two equations have no solution, it means their graphs are parallel and will never intersect.
6.
FLASHCARD QUESTION
Front
What is the standard form of a linear equation?
Back
The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.
7.
FLASHCARD QUESTION
Front
How do you determine the number of solutions for a system of equations?
Back
You can determine the number of solutions by analyzing the graphs of the equations: one intersection point means one solution, no intersection means no solution, and overlapping lines mean infinite solutions.
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