1-8 Exploring Transformations - Math Slide Show

Lesson 1-8Objective - To apply transformations to points andsets of points.Move the point (-5, 1) 5 units to the right and 4units down. Give the coordinates of the translatedpoint.yTranslationsHorizontal TranslationThe x-coordinate changes.( xy , ) → ( x + h, y)+5-4x(−5,1) → (0,−3)(x, y) → (x + 5, y − 4)Vertical TranslationThe y-coordinate changes.( x, y) → ( x, y+k)Reflect point M over the y-axis and then over the x-axis.ReflectionsyMxReflection across x-axis(1, 3) → ( −1, 3)Reflection across y-axis(1, 3) → ( 1, −3)Reflection across y-axisThe x-coordinate changes.( xy , ) → ( −x, y)Reflection across x-axisThe y-coordinate changes.( x, y) → ( x, − y)Stretches and CompressionsHorizontal StretchStretches and CompressionsVertical StretchyThe x-coordinatechanges.yThe y-coordinatechanges.( xy , ) → ( bx, y)( xy , ) → ( xay , )xb > 1xa > 1Algebra 2 Slide Show: Teaching Made Easy As Pi, by Mike Mills and James Wenk © 2010

Lesson 1-8 (cont.)Stretches and CompressionsHorizontal CompressionStretches and CompressionsVertical CompressionyxThe x-coordinatechanges.( xy , ) → ( bx, y)0 < b < 1yxThe y-coordinatechanges.( xy , ) → ( xay , )0 < a < 1Algebra 2 Slide Show: Teaching Made Easy As Pi, by Mike Mills and James Wenk © 2010