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Published byLouisa Garrett Modified over 9 years ago
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Properties or Rules of Transformations Equations used to find new locations
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Translation What do you Notice about this Translation going From blue to red? How are the Ordered pairs Affected?
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Translation Basic Translation (x,y) (x+3,y) Move each point 3 units right on the x axis Could rules for x, y or both Add to the x moves right Subtract from x moves left Add to y moves up Subtract from y moves down
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Reflection 3 types Over the x axis Over the y axis Over the line y=x
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Example Given the following picture reflect over the y axis and the write the coordinates
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Reflections What do you think will happen with the x axis reflection? (x,y) (x,-y) Reflecting about the line y=x? (x,y) (y,x)
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This is reflection along the line y=x, notice the location of the original points and how they are different in the new image, x and y are reversed Point (-1,2) Point (-4,1) Point (-3,5) Point (2,-1) Point (1,-4) Point (5,-3)
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Rotation about Origin Rotate a figure 180 degrees about the origin what do you notice Rotate a figure 90 degrees clockwise or counter clockwise what do you notice?
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OldNew XYX’Y’ 23-2-3 51-5 46-4-6 Rule (x,y) (-x,-y)
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OldNew XYX’Y’ 233-2 511-5 466-4 Rule (x,y) (y,-x)
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Coordinate Transformation Reflect across y-axis the rule (x,y) (-x,y) Reflect across x-axis the rule (x,y) (x,-y) Reflect across y=x the rule (x,y) (y,x) Rotate about the origin 180 degrees the rule (x,y) (-x,-y) Translation about x-axis (x,y) (x+ or - #,y) Translation about y-axis (x,y) (x,y+ or - #)
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Homework Pg 380 1-8
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