Explain how, if you have the attributes given below for the conic you chose, you can derive its equation in standard form.

• parabola:vertex:(4, 2); focus:(3, 2)
• ellipse:foci:(1, 5) (1, -1); center:(1, 2); vertices:(1, 6), (1, -2), (-1.65, 2), (3.65, 2)
• hyperbola:foci:(1, 5), (1, -1); center:(1, 2); vertices:(1, 0), (1, 4)