24-25 Alg1 3-7 FLASHCARD - Linear Transformations

Front

What is a linear transformation?

Back

A linear transformation is a function between two vector spaces that preserves the operations of vector addition and scalar multiplication.

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Back

This equation represents a vertical shift of the graph of f(x) by c units. If c is positive, the graph shifts up; if c is negative, it shifts down.

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Back

This equation represents a vertical stretch or compression of the graph of f(x). If |a| > 1, the graph stretches; if 0 < |a| < 1, it compresses.

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Back

This equation represents a horizontal shift of the graph of f(x). If c is positive, the graph shifts to the right; if c is negative, it shifts to the left.

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Back

This equation reflects the graph of f(x) across the x-axis.

Front

What is the parent function of linear functions?

Back

Front

What effect does multiplying a function by a negative number have?

Back

Multiplying a function by a negative number reflects the graph across the x-axis.

Front

What is a vertical stretch?

Back

A vertical stretch occurs when a function is multiplied by a factor greater than 1, making the graph steeper.

Front

What is a vertical compression?

Back

A vertical compression occurs when a function is multiplied by a factor between 0 and 1, making the graph flatter.

Front

How do you identify a vertical shift in a function?

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