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

What happens to the x and y values under several kinds of transformations?

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 direction therefore (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 coordinates and how would I represent this as a horizontal stretch? Also, what are the rules for this type of transformation? Is it when a > 0 then it is a compression?

y = 2f(x) I know that this is a vertical stretch but what is happening to the coordinates and how would I represent this as a vertical compression? Also, what are the rules for this type of transformation?

Expert Solution

Colby Messinger answered 2 years ago

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