What is the range of the absolute value function?

The range of the absolute value function is all non-negative real numbers, expressed as $$[0, ∞)$$ .

How do you write an absolute value function with a vertical stretch of 2 and a vertical shift down 9?

The function is written as $$f(x) = 2|x| - 9$$ .

What is the equation of the function after a horizontal shift right by 3 units?

The equation becomes $$f(x) = |x - 3|$$ .

How do you determine the transformations applied to the function $$f(x) = |x - 2| + 3?$$

The transformations are a horizontal shift right 2 units and a vertical shift up 3 units.

What is the equation of the function after a vertical stretch of 2 and a horizontal shift left 1 unit?

The function is written as $$f(x) = 2|x + 1|$$ .

What is the effect of a horizontal shift right on the absolute value function?

A horizontal shift right by 'h' units transforms the function to $$f(x) = |x - h|$$ .

What is the equation of the function after a vertical flip and a vertical shift down 2?

The function is written as $$f(x) = -|x| - 2$$ .

How do you write an absolute value function with a vertical stretch of 2 and a horizontal shift left 1 unit?

The function is written as $$f(x) = 2|x + 1|$$ .

Transformations of Absolute Value Functions

Flashcard

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Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

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CCSS

HSF-IF.C.7D, 8.F.A.1, HSF.IF.B.5

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FLASHCARD QUESTION

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What is the equation of the basic absolute value function?

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