SOLUTION: If k(x)=-f(x) what would the new coordinates of P be after the reflection? Give answer in (x, y) form.

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Question 115514: If k(x)=-f(x) what would the new coordinates of P be after the reflection? Give answer in (x, y) form.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
b)
Since f(x) is really "y", the transformation k%28x%29=-f%28x%29 reflects each y value to it's opposite -y value. In other words, it takes a point like (0,1) and reflects it to (0,-1) (notice the y value is the opposite). So in general it takes (x,y) and reflects it to (x,-y)

So if P is (0,-1), then k%28x%29=-f%28x%29 will take the opposite of the y coordinate and reflect the point to (0,1)

So the new coordinates of P is (0,1)