Transformations of Functions and Graphs

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What is a transformation of a function?

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

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What does it mean to shift a graph vertically?

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Shifting a graph vertically means moving it up or down on the coordinate plane. This is done by adding or subtracting a constant from the function's output.

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What does it mean to shift a graph horizontally?

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Shifting a graph horizontally means moving it left or right on the coordinate plane. This is done by adding or subtracting a constant from the function's input.

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What is the effect of a negative sign in front of a function?

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A negative sign in front of a function reflects the graph across the x-axis.

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What is the range of a function?

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The range of a function is the set of all possible output values (y-values) that the function can produce.

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What is the domain of a function?

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The domain of a function is the set of all possible input values (x-values) for which the function is defined.

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How do you find the x-intercept of a function?

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The x-intercept of a function is found by setting the output (y) to zero and solving for the input (x).

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What is an absolute value function?

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