5.2 Exponential Transformations Lesson Check
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the transformation of the function if it reflects across the line y=0?
Back
Reflection across the line y=0 means the graph is flipped over the x-axis.
2.
FLASHCARD QUESTION
Front
How does the function y=2(4)^(x-3)+1 transform the original function y=4^x?
Back
The graph is vertically stretched by a factor of 2, shifted right 3 units, and shifted up 1 unit.
3.
FLASHCARD QUESTION
Front
What is the asymptote of the function y=4(5)^x?
Back
The asymptote is y = 0.
4.
FLASHCARD QUESTION
Front
What effect does adding a constant 'k' have in the function y=a(b)^x+k?
Back
Adding a constant 'k' results in a vertical translation of the graph.
5.
FLASHCARD QUESTION
Front
What is the y-intercept of the function y=4(5)^x?
Back
The y-intercept is (0, 4).
6.
FLASHCARD QUESTION
Front
Define vertical translation in the context of exponential functions.
Back
Vertical translation occurs when a constant is added or subtracted from the function, shifting the graph up or down.
7.
FLASHCARD QUESTION
Front
What does a horizontal translation to the right by 3 units indicate in an exponential function?
Back
It indicates that the function is shifted 3 units to the right on the x-axis.
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