Question

Find the focus and directrix of the parabola y = .5(x + 2)2 – 3​

Answer 1

Answer:

comparing equation with standard equation x

2

=4ay

a=2/5

co-ordinates of focus =(o,a) i.e. (0, 2/5)

equation of directrix=y=-a i.e. y=-(2/5)

length of latus rectum= 4a i.e. 8/5

co-ordinates of latus rectum=(-2a,a) and (2a,a) i.e. (-4/5,2/5) and (4/5,2/5)..

Step-by-step explanation:

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