What is the image,x^2 +y^2 + 2x- 9 = 0, after a reflection in the liney= -x+ 1?

I don't even know where to start...

Printable View

- Jul 21st 2010, 02:57 PMMATNTRNGReflection
What is the image,

*x*^2 +*y*^2 + 2*x*- 9 = 0, after a reflection in the line*y*= -*x*+ 1?

I don't even know where to start... - Jul 21st 2010, 06:16 PMskeeter
- Jul 27th 2010, 10:44 PMsimplependulum
Replace $\displaystyle x,y $ with $\displaystyle 1 - y' , 1-x' $ respectively .

Then the equation obtained , $\displaystyle f(x',y') = 0 $ is the reflected image .

The answer is $\displaystyle x^2 + y^2 - 2x - 4y - 5 = 0 $ .