document.write( "Question 64382: please help me find the vertex, axis of symm., x and y intercepts, focus and directrix. It would be helpful if you could sketch the graphs showing the points.
\n" ); document.write( "y=-1/4(x-2)^2+4 and
\n" ); document.write( "x=3(y+1)^2-2\r
\n" ); document.write( "\n" ); document.write( "Thank you. \n" ); document.write( "
Algebra.Com's Answer #45030 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
please help me find the vertex, axis of symm., x and y intercepts, focus and directrix. It would be helpful if you could sketch the graphs showing the points.
\n" ); document.write( "y=-1/4(x-2)^2+4\r
\n" ); document.write( "\n" ); document.write( "y-4=(-1/4)(x-2)^2
\n" ); document.write( "Vertex: (2,4)
\n" ); document.write( "Axis of sym: x=2
\n" ); document.write( "x-int: let y=0 then (1/4)(x-2)^2=4; (x-2)^2=16; x-2=4 or x-2=-4; x=6 or -2
\n" ); document.write( "y-int: let x=0 then y=(-1/4)(-2)^+4=-1+4=3
\n" ); document.write( "Note: 4p=-(1/4) so p=-1/16
\n" ); document.write( "Focus = (2,4+(-1/6))=(2,15/16)
\n" ); document.write( "Directrix: y=4+(1/16)=17/16
\n" ); document.write( "\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C%28-1%2F4%29%28x-2%29%5E2%2B4%29\"
\n" ); document.write( "-------------------------
\n" ); document.write( " and
\n" ); document.write( "x=3(y+1)^2-2
\n" ); document.write( "x+2=3(y+1)^2
\n" ); document.write( "Vertex: (-2,-1)
\n" ); document.write( "Axis of sym: y=-1
\n" ); document.write( "x-int: let y=0 then x=1
\n" ); document.write( "y-int: let x=0 then (y+1)^2=2/3 ; y=-1+sqrt(2/3) or y=-1-sqrt(2/3)
\n" ); document.write( "Note: 4p=3 so p=3/4
\n" ); document.write( "Focus: (-2+(3/4),-1)=(-5/4,-1)
\n" ); document.write( "Directrix: x=-2-(3/4)=-11/4
\n" ); document.write( "This site software cannot graph this as it is not a function.
\n" ); document.write( "---------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( " \n" ); document.write( "
\n" );