document.write( "Question 692383: PART 1: The graph of the equation y^2-x^2+2x=2 is:
\n" ); document.write( "PART 2: The graph of the equation y-x^2=2x\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "a. parabola
\n" ); document.write( "b. elipse
\n" ); document.write( "c. circle
\n" ); document.write( "d. hyperbola
\n" ); document.write( "e. none of these\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Part 1 Solve:
\n" ); document.write( "y^2-x^2+2x=2
\n" ); document.write( "???????????\r
\n" ); document.write( "\n" ); document.write( "Part 2 Solve:
\n" ); document.write( "y-x^2=2x
\n" ); document.write( "y=x^2+2x
\n" ); document.write( "(parabola) \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "That's all I got, I don't know how I would solve part 1 to figure out what kind it is and I'm pretty sure part 2 is right. If anyone can solve part 1 it would help a lot
\n" ); document.write( "

Algebra.Com's Answer #426989 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
PART 1: The graph of the equation y^2-x^2+2x=2 is:
\n" ); document.write( "complete the square:
\n" ); document.write( "y^2-x^2+2x=2
\n" ); document.write( "y^2-(x^2-2x+1)=2-1
\n" ); document.write( "y^2-(x-1)^2=1
\n" ); document.write( "This is an equation of a hyperbola with vertical transverse axis and center at (1,0)
\n" ); document.write( "Its standard form: \"%28y-k%29%5E2%2Fa%5E2-%28x-h%29%5E2%2Fb%5E2=1\", (h,k)=(x,y) coordinates of center
\n" ); document.write( "..
\n" ); document.write( "PART 2: The graph of the equation y-x^2=2x
\n" ); document.write( "complete the square:
\n" ); document.write( "y-x^2=2x
\n" ); document.write( "y-x^2-2x=0
\n" ); document.write( "y-(x^2+2x+1)=0-1
\n" ); document.write( "y-(x+1)^2=-1
\n" ); document.write( "(x+1)^2=y+1
\n" ); document.write( "This is an equation of a parabola that opens upwards.
\n" ); document.write( "Its standard form: \"%28x-h%29%5E2=4p%28y-k%29\", (h,k)=(x,y) coordinates of the vertex\r
\n" ); document.write( "\n" ); document.write( "note: Often the best way to see what conic the given equation is, write it in standard form by completing the square.
\n" ); document.write( "
\n" );