What does a horizontal shift to the right by 3 units look like for the function $$f(x) = |x|$$ ?

The transformed function is $$f(x) = |x - 3|$$ .

What does a horizontal compression by a factor of 2 do to the function $$f(x) = |x|$$ ?

The transformed function is $$f(x) = |2x|$$ .

How do you represent a vertical shift down by 4 units for the function $$f(x) = |x|$$ ?

The transformed function is $$f(x) = |x| - 4$$ .

What is the transformation for the function $$f(x) = \frac{1}{2}|x|$$ ?

This represents a vertical shrink by a factor of 1/2.

What does the transformation 'left 2' mean for the function $$f(x) = |x|$$ ?

The transformed function is $$f(x) = |x + 2|$$ .

What is the effect of a vertical stretch by a factor of 3 on the function $$f(x) = |x|$$ ?

The transformed function is $$f(x) = 3|x|$$ .

How do you describe the transformation of the function $$f(x) = -|x| + 5$$ ?

This function is reflected across the x-axis and shifted up by 5 units.

What does the transformation 'down 3' look like for the function $$f(x) = \frac{1}{2}|x|$$ ?

The transformed function is $$f(x) = \frac{1}{2}|x| - 3$$ .

What is the transformation for the function $$f(x) = |x - 1| + 2$$ ?

This function is shifted right by 1 unit and up by 2 units.

How do you represent a reflection across the y-axis for the function $$f(x) = |x|$$ ?

The transformed function is $$f(x) = |-x|$$ .

What does a horizontal stretch by a factor of 3 do to the function $$f(x) = |x|$$ ?

The transformed function is $$f(x) = | \frac{1}{3}x |$$ .

Function Transformations Flashcards

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1.

FLASHCARD QUESTION

Front

What is a function transformation?

Back

A function transformation refers to the changes made to the graph of a function, including shifts, stretches, compressions, and reflections.

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