Exam Review - Transformations and Sequences

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a transformation in mathematics?
Back
A transformation is an operation that moves or changes a shape in some way, such as translation, rotation, reflection, or dilation.
2.
FLASHCARD QUESTION
Front
Define translation in the context of graph transformations.
Back
Translation is a type of transformation that shifts a graph horizontally, vertically, or both without changing its shape.
3.
FLASHCARD QUESTION
Front
What does it mean to compress a graph vertically?
Back
Vertical compression occurs when the graph of a function is squeezed towards the x-axis, making it shorter.
4.
FLASHCARD QUESTION
Front
What is the effect of shifting a graph 4 units to the left?
Back
Shifting a graph 4 units to the left means that every point on the graph moves 4 units in the negative x-direction.
5.
FLASHCARD QUESTION
Front
How do you determine the explicit formula for a sequence?
Back
To determine the explicit formula for a sequence, identify the pattern in the sequence and express it in the form a_n = f(n), where f(n) is a function of n.
6.
FLASHCARD QUESTION
Front
What is the formula for the nth term of an arithmetic sequence?
Back
The formula for the nth term of an arithmetic sequence is a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.
7.
FLASHCARD QUESTION
Front
What does the notation a_n = 4n + 11 represent?
Back
This notation represents a sequence where each term is calculated by multiplying the term's position n by 4 and then adding 11.
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