20 pointtss me only correct answers
select any conic section (other than a circle). answer the questions in this task as they relate to the conic section you chose.
1. in your own words, define the conic section you chose as a collection of points (loci) on a plane.
2. assuming you know the coordinates of the key points (vertex, foci, directrix), explain how to graph the functions of the conic section you chose using your definition of it.
3. part a
write the standard equation of the conic section you chose with its center or vertex at the origin. describe the graph.
part b
use the drawing tool to sketch the graph and label its parts.
4. answer the questions in this part of the task based on your understanding of the definition and the standard equation for the conic you chose.
part a: inspect the equation for the type of conic section you chose. what attributes are necessary to graph it? be sure to include specific points or equations to complete your answer.
part b:
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)