Parent Functions and Transformations of Linear/Absolute Function

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What is a parent function?

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A parent function is the simplest form of a function in a family of functions. It serves as a reference point for transformations.

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What is the parent function of absolute value?

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What does it mean to shift a graph to the right?

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Shifting a graph to the right means adding a positive value to the x-variable in the function, resulting in a horizontal translation.

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What is the effect of multiplying a function by a positive constant greater than 1?

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Multiplying a function by a positive constant greater than 1 vertically stretches the graph away from the x-axis.

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

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A negative sign in front of an absolute value function reflects the graph vertically across the x-axis.

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How do you represent a vertical shift in a function?

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What does it mean to reflect a graph vertically?

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Reflecting a graph vertically means flipping it over the x-axis, which is done by multiplying the function by -1.

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What is the equation for an absolute value function shifted right 5 units?

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