document.write( "Question 667898: it says, \"Identify each curve. find the characteristics listed.\"\r
\n" ); document.write( "\n" ); document.write( "12x= y^2 vertex, focus, directix\r
\n" ); document.write( "\n" ); document.write( "please help
\n" ); document.write( "

Algebra.Com's Answer #415315 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
it says, \"Identify each curve. find the characteristics listed.\"
\n" ); document.write( "12x= y^2 vertex, focus, directix
\n" ); document.write( "*
\n" ); document.write( "y^2=12x
\n" ); document.write( "This is an equation of a parabola that opens rightwards.
\n" ); document.write( "Its standard form: (y-k)^2=4p(x-h), (h,k)=(x,y) coordinates of the vertex
\n" ); document.write( "For given equation: y^2=12x:
\n" ); document.write( "vertex: (0,0)
\n" ); document.write( "axis of symmetry: y=0
\n" ); document.write( "4p=12
\n" ); document.write( "p=3
\n" ); document.write( "focus: (3,0) (p-distance from vertex on axis of symmetry)
\n" ); document.write( "directrix: x=-3 (equation of vertical line p-distance from vertex on the axis of symmetry
\n" ); document.write( "see graph below:
\n" ); document.write( "\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C-%2812x%29%5E.5%2C%2812x%29%5E.5%29+\"
\n" ); document.write( "
\n" ); document.write( "
\n" );