How does the transformation $$g(x) = f(x - 2)$$ affect the graph of $$f(x)$$ ?

The transformation shifts the graph of $$f(x)$$ horizontally to the right by 2 units.

How does the transformation $$g(x) = f(x) + 3$$ affect the graph of $$f(x)$$ ?

The transformation shifts the graph of $$f(x)$$ vertically upwards by 3 units.

What is the effect of changing $$f(x) = 3^x$$ to $$g(x) = 3^{x + 2}$$ ?

This transformation results in a horizontal shift of the graph 2 units to the left.

What does the transformation $$g(x) = 2^{2x}$$ represent?

This transformation represents a horizontal compression of the graph of $$f(x) = 2^x$$ by a factor of 2.

What is the parent function of exponential functions?

The parent function of exponential functions is $$f(x) = b^x$$ , where $$b > 0$$ and @@b eq 1@@.

What is the significance of the base in an exponential function?

The base of an exponential function determines the rate of growth or decay; if $$b > 1$$ , the function grows, and if $$0

What does it mean for a function to be transformed vertically?

Vertical transformations involve shifting the graph up or down, or stretching/compressing it vertically.

What does it mean for a function to be transformed horizontally?

Horizontal transformations involve shifting the graph left or right, or stretching/compressing it horizontally.

Exponential Transformations Flashcard Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is an exponential function?

Back

2.

FLASHCARD QUESTION

Front

What does a horizontal shift in an exponential function mean?

Back

3.

FLASHCARD QUESTION

Front

What does a vertical shift in an exponential function mean?

Back

4.

FLASHCARD QUESTION

Front

What is a vertical compression in an exponential function?

Back

5.

FLASHCARD QUESTION

Front

What is a vertical stretch in an exponential function?

Back

6.

FLASHCARD QUESTION

Front

What does a horizontal compression in an exponential function mean?

Back

7.

FLASHCARD QUESTION

Front

What does a horizontal stretch in an exponential function mean?

Back

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