analytical geometry

In this blog let us learn about analytical geometry,
Find the equation of the parabola if the curve is open upward, vertex is (− 1, − 2) and the length of the latus rectum is 4.
Solution:
Since it is open upward, the equation is of the form

(x − h)² = 4a(y − k)

Length of the latus rectum = 4a = 4 and this gives a = 1

The vertex V (h, k) is (− 1, − 2)

The equation of parabola is [x-(-1)]²=4*1 [y-(-2)]

[x+1]²=4[y+2].In the next blog we will learn about deviation and ratios.Hope your like the above example of analytical geometry,please leave your comments if you have any doubts.