Reflections and Dilations of Parent Functions

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What is a vertical shrink in transformations?

Back

A vertical shrink occurs when the output of a function is multiplied by a factor less than 1, causing the graph to be compressed towards the x-axis.

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Back

It translates the graph vertically by k units. If k is positive, the graph moves up; if k is negative, it moves down.

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Back

It translates the graph horizontally. If h is positive, the graph moves to the right; if h is negative, it moves to the left.

Front

What is a vertical stretch in transformations?

Back

A vertical stretch occurs when the output of a function is multiplied by a factor greater than 1, causing the graph to be pulled away from the x-axis.

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How does a reflection over the x-axis affect the graph of a function?

Back

A reflection over the x-axis inverts the graph, changing the sign of the output values.

Front

What is the general form of a quadratic function?

Back

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The parameter 'a' determines the direction and width of the parabola. If 'a' is positive, the parabola opens upwards; if negative, it opens downwards.

Front

What is the effect of a horizontal shift on the graph of a function?

Back

Front

What is the effect of a vertical shift on the graph of a function?

Back

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