Question 879415
(x-1)^2 = (1/4)(y+2) Opening Upward along x = 1  {{{y = 4(x-1)^2 -2}}}
C(1,-2), 4p = 1/4, p = 1/16, F(1, -1 15/16), Directrix is y = -2 1/16)
{{{drawing(300,300,   -10,10,-10,12, blue(line(1,10,1,-10)),
 grid(1),
circle(1, -2,0.4),
graph( 300, 300, -10,10,-10,12,0, -33/16, 4(x-1)^2/5 -2   ))}}}
<pre><font face = "Tohoma" size = 3 color = "indigo"><b> 
Hi
Need to Know...............................................................
Standard Form of an Equation of a Circle is {{{(x-h)^2 + (y-k)^2 = r^2}}} 
Standard Form of an Equation of an Ellipse is {{{(x-h)^2/a^2 + (y-k)^2/b^2 = 1 }}} 
Standard Form of an Equation of an Hyperbola opening up and down is:{{{(y-k)^2/b^2 - (x-h)^2/a^2 = 1}}} 
Standard Form of an Equation of an Hyperbola opening right and  left is:{{{(x-h)^2/a^2 - (y-k)^2/b^2 = 1}}} 
the vertex form of a Parabola opening up(a>0) or down(a<0), {{{y=a(x-h)^2 +k}}}
 the vertex form of a Parabola opening right(a>0) or left(a<0), {{{x=a(y-k)^2 +h}}}