Transformations can be thought of as functions that take ure por
another object (the image). in the unit, you saw examples of how algebra can be used to rewrite the coordinates of points afte
have been transformed. you can also use function notation to rewrite the coordinates. for example, these statements shows
different ways you can use function notation for the translation, t, of a point 6 units in the positive x-direction:
• t(x, y) = (x + 6, y)
• t: (x, y) = (x + 6,y)
• t< 6, 0> (x, y) = (x + 6,y)
• t6, 0(x, y) = (x + 6, y)
part a
write functions for each of the following transformations using function notation. choose a different letter to represent
function. for example, you can use r to represent rotations. assume that a positive rotation occurs in the counterclockw
direction.
• translation of a units to the right and b units up
• reflection across the y-axis
reflection across the x-axis
• rotation of 90 degrees counterclockwise about the origin, point o
• rotation of 180 degrees counterclockwise about the origin, point o
• rotation of 270 degrees counterclockwise about the origin, point o