problem:

the standard form of a circle is (x-h)2+(y-k)2=r2 and vertex form for the parabola, y-k=a(x-h)2. the (h, k) pair is the center of the circle and the vertex of the parabola. the radius of the circle is ‘r’ and the focal length of the parabola is f=1/(4a). for the following general conic equation: x2+y2-2x-4y-4=0 complete the following problems showing all your work:

a. complete the square showing all your work to convert to standard form:

b. if this is a circle, state the coordinates of the center and give the radius. if this is a parabola, then state the coordinates of the vertex and give the focal length. show all your work.

c. sketch (or plot, or graph) the conic. label the point and values you found in part b. also label the top-most, bottom-most, right-most, and left-most points on the circle or the focus and directrix on the parabola.