Function Notation Transformations Check Point

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What is function notation?

Back

Function notation is a way to represent functions in mathematics, typically using symbols like f(x) to denote the output of a function f for a given input x.

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How do you represent a horizontal shift to the right in function notation?

Back

A horizontal shift to the right is represented as f(x - h), where h is the number of units shifted.

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How do you represent a horizontal shift to the left in function notation?

Back

A horizontal shift to the left is represented as f(x + h), where h is the number of units shifted.

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What does a negative sign in front of a function indicate?

Back

A negative sign in front of a function, like -f(x), indicates a reflection of the graph across the x-axis.

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What does multiplying a function by a number less than 1 do to its graph?

Back

Multiplying a function by a number less than 1 compresses the graph vertically.

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What does multiplying a function by a number greater than 1 do to its graph?

Back

Multiplying a function by a number greater than 1 stretches the graph vertically.

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How do you represent a vertical shift upwards in function notation?

Back

A vertical shift upwards is represented as f(x) + k, where k is the number of units shifted up.

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How do you represent a vertical shift downwards in function notation?

Back

A vertical shift downwards is represented as f(x) - k, where k is the number of units shifted down.

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What is the effect of f(2x) on the graph of f(x)?

Back

The effect of f(2x) is a horizontal compression of the graph by a factor of 2.

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What does f(x - 1) represent in terms of graph transformation?

Back

f(x - 1) represents a horizontal shift of the graph to the right by 1 unit.