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What happens to the x and y values under several kinds of transformations? I know that: y =...

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Advance Math

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?

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