What does a horizontal shift to the right by 3 units mean for the function $$g(x) = 2^{(x-3)}$$ ?

It means that the graph of the function is moved 3 units to the right from the parent function $$f(x) = 2^x$$ .

What does the transformation $$y = 4^{(x-2)}$$ represent?

It represents a horizontal shift to the right by 2 units from the parent function $$y = 4^x$$ .

What is the result of a vertical translation up 2 units on the function $$y = 2^x$$ ?

The new function will be $$y = 2^x + 2$$ .

How does the function $$y = 4^x - 2$$ differ from the parent function?

It is vertically shifted down by 2 units.

What does a reflection over the y-axis mean for the function $$y = 2^{-x}$$ ?

It means that the graph is flipped over the y-axis, changing the direction of growth.

What is the transformation from $$y = 2^x$$ to $$y = 2^{(x+3)}$$ ?

This transformation represents a horizontal shift to the left by 3 units.

What does the transformation $$y = -2^x + 1$$ indicate?

It indicates a reflection over the x-axis and a vertical shift up by 1 unit.

What is the effect of changing $$y = 2^x$$ to $$y = 2^{(x-1)}$$ ?

This represents a horizontal shift to the right by 1 unit.

What does a vertical stretch by a factor of 3 mean for the function $$y = 2^x$$ ?

The new function will be $$y = 3 \cdot 2^x$$ , making the graph steeper.

What is the transformation from $$y = 4^x$$ to $$y = 4^{(x+2)}$$ ?

This transformation represents a horizontal shift to the left by 2 units.

What does the transformation $$y = 2^{(x-3)} + 1$$ indicate?

It indicates a horizontal shift to the right by 3 units and a vertical shift up by 1 unit.

Transformations of Exponential Functions Flashcards

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1.

FLASHCARD QUESTION

Front

What is the parent function of exponential functions?

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2.

FLASHCARD QUESTION

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3.

FLASHCARD QUESTION

Front

Back

This transformation reflects the graph over the x-axis.

4.

FLASHCARD QUESTION

Front

Back

It means that the entire graph of the function is shifted down by 2 units.

5.

FLASHCARD QUESTION

Front

Back

The graph of the function is moved 1 unit to the left from the parent function.

6.

FLASHCARD QUESTION

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Back

7.

FLASHCARD QUESTION

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