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THE FAMILY!

CONTENTS Parent Function Reflection Across X-Reflection Across X- and Y-axisand Y-axis Vertical Stretch and Vertical Shrink HorizontalHorizontal and

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Characteristics:Domain: All Real NumbersRange: All Real NumbersAsymptote: x=0End Behavior: As x, y-As x-, y0Interval of Increase:~NONE~Interval of Decrease: (-, )Interval Where Positive: ~NONE~Interval Where Negative: (0,-)Intercepts:X-int.=noneY-int.=-1-No Vertex-The Function, as well as the transformations are neither even or odd!

Characteristics:Domain: All Real NumbersRange: All Real NumbersAsymptote: x=0End Behavior: As x, yAs x-, y0Interval of Increase: (-, )Interval of Decrease: ~NONE~Interval Where Positive: (1, )Interval Where Negative:~NONE~Intercepts:X-int.=noneY-int.=1-No Vertex-The Function, as well as the transformations are neither even or odd!

SoWhat Changed?This Function has been reflected across the x-axis. This transformation caused the y intercept, the place where the line touches the y axis, to reflect to -1, rather than regular1. The asymptote (the value that the line approaches but never meets) is the same (the x-axis), but the graph is approaching it from the other side of the coordinate plane.

Vertical Stretch

Combination!What Changed?This graph is a combination of two different transformations. The first transformation is a reflection across the x-axis, with the second transformation shifting the whole graph down 4 units. The graph will never EVER touch the 1st and 2nd quadrants.

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Best Math Teacher Ever!!!!!

Emanuel Hill Jr.

Emanuel Hill Jr.

Emanuel Hill Jr.

Emanuel Hill Jr.

Emanuel Hill Jr.

Emanuel Hill Jr.

Emanuel Hill Jr.

Emanuel Hill Jr.

MS. Johnston!

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