4. use your answer to problem 3 to find the equation of the ellipse for each of the situations below.
a. an ellipse centered at the origin with x-intercepts (−2,0), (2,0) and yy-intercepts (0,8), (0, −8)
b. an ellipse centered at the origin with x-intercepts (−√5, 0), (√5, 0) and yy-intercepts (0,3), (0, −3)

Step-by-step explanation:

(a)Ellipse centered at the origin with x-intercepts (−2,0), (2,0) and yy-intercepts (0,8), (0, −8)

as the length of  x intercept is smaller than y intercept therefore it is a vertical Ellipse of the form

length of major axis

Length of minor axis

thus Equation of Ellipse is

(b)x intercept is

Y intercept is (0,3) (0,-3)

here also Y intercept is greater than x intercept thus it is also a vertical ellipse

length of major axis

Length of minor axis

thus Equation of Parabola is

clock

step-by-step explanation:

b. astronomers