Write equation in standard form. Find significant features of graph:
1. x^2 + y^2 -8x +10y +15 = 0
2. y^2 + 4y -8x + 4 = 0
Determine intersection points, if any, for each system of equations:
3. (x^2/4+y^2=1
(y=x+1
4.(x^2+y^2-16y+39=0
(y^2-x^2-9=0
Write down the equation of each conic section with given properties:
5. The hyperbola with vertices (0,-6) and (0,6) and asymptotes y=3/4x and y= -3/4x
6. The ellipse with vertices (0,-5) and (0,5) and minor axis of length 8.