Question 324367
1) Complete the square in x and y.
{{{ x^2 - 2x + y^2 +4y = 11}}}
{{{(x^2-2x+1)+(y^2+4y+4)=11+1+4}}}
{{{(x-1)^2+(y+2)^2=16}}}
A circle centered at (1,-2) with a radius of 4.
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2) Complete the square in x.
{{{4x^2 + 24x - y + 34 = 0}}}
{{{y=4x^2+24x+34}}}
{{{y=4(x^2+6x)+34}}}
{{{y=4(x^2+6x+9)+34-36}}}
{{{y=4(x+3)^2-2}}}
A parabola with a vertex at (-3,-2).