Suppose that the foci of an ellipse are p(−1,0) and p(1,0) and that the point p(x, y) satisfies the condition p=4.
a. derive an equation of an ellipse with foci p and p that passes through p. write your answer in standard form: (x^2)/(a^2/)+y^2/ b^2=1.
b. sketch the graph of the ellipse defined above..
c. verify that the x-intercepts of the graph satisfy the condition p+p=4.
d. verify that the y-intercepts of the graph satisfy the condition p+p=4.