SOLUTION: If h(x) = f(x) – 3, what would the new coordinates of P be after the shift? I need an anser in (x,y) form. The instructor would talk about the problems, but I am one where you see

Algebra ->  Algebra  -> Rational-functions -> SOLUTION: If h(x) = f(x) – 3, what would the new coordinates of P be after the shift? I need an anser in (x,y) form. The instructor would talk about the problems, but I am one where you see      Log On

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Question 115231: If h(x) = f(x) – 3, what would the new coordinates of P be after the shift? I need an anser in (x,y) form. The instructor would talk about the problems, but I am one where you see one, then I can do one. Please help. Thank you.
Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!
Since f(x) is really "y", this means h%28x%29=y-3. So what this transformation does is shift every point down 3 units.

So let P be the point (2,3)

drawing%28500%2C500%2C-6%2C6%2C-6%2C6%2C%0D%0Agrid%281%29%2C%0D%0Acircle%282%2C3%2C0.08%29%2C%0D%0Acircle%282%2C3%2C0.10%29%0D%0A%29 Here's the point (2,3)

Now shift the point 3 units down

drawing%28500%2C500%2C-6%2C6%2C-6%2C6%2C%0D%0Agrid%281%29%2C%0D%0Acircle%282%2C3%2C0.08%29%2C%0D%0Acircle%282%2C3%2C0.10%29%2C%0D%0Agreen%28arc%282%2C0.5%2C1%2C1%2C270%2C90%29%29%2C%0D%0Agreen%28arc%282%2C1.5%2C1%2C1%2C270%2C90%29%29%2C%0D%0Agreen%28arc%282%2C2.5%2C1%2C1%2C270%2C90%29%29%2C%0D%0Acircle%282%2C0%2C0.08%29%2C%0D%0Acircle%282%2C0%2C0.10%29%0D%0A%29


So our new point is (2,0)


So for any P in general, the coordinates are (x,y-3) where x and y could be any number.