What happens to the x and y values under several kinds oftransformations?
I know that:
y = f(-x) reflection over the y axis therefore (x,y) =(-x,y)
y = -f(x) reflection over the x axis therefore (x,y) =(x,-y)
y = f(x - or + 3) shift opposite direction in x directiontherefore (x + or - 3, y)
y = f(x) + or - 3 shift in the direction of the sign therefore(x, y + or - 3)
y = f(2x) I know that this is a horizontal transformation,specifically a compression but what is happening to the coordinatesand how would I represent this as a horizontal stretch? Also, whatare the rules for this type of transformation? Is it when a > 0then it is a compression?
y = 2f(x) I know that this is a vertical stretch but what ishappening to the coordinates and how would I represent this as avertical compression? Also, what are the rules for this type oftransformation?