What is a family of functions?
Family of Functions Review

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Mathematics
•
8th - 11th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A family of functions is a group of functions that share common characteristics, such as the same general form or behavior.
2.
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.
3.
FLASHCARD QUESTION
Front
How do you find the vertex of a quadratic function in vertex form?
Back
For a quadratic function in the form f(x) = a(x - h)² + k, the vertex is the point (h, k).
4.
FLASHCARD QUESTION
Front
What does the 'a' value in a quadratic function indicate?
Back
The 'a' value determines the direction of the parabola: if a > 0, it opens upwards; if a < 0, it opens downwards.
5.
FLASHCARD QUESTION
Front
What is the standard form of a quadratic function?
Back
The standard form of a quadratic function is f(x) = ax² + bx + c.
6.
FLASHCARD QUESTION
Front
How can you determine if a quadratic function opens up or down?
Back
You can determine this by looking at the 'a' value in the function: if 'a' is positive, it opens up; if 'a' is negative, it opens down.
7.
FLASHCARD QUESTION
Front
What is the absolute value function?
Back
The absolute value function is defined as f(x) = |x|, which outputs the non-negative value of x.
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