Question

Find the equation of the parabola with its axis parallel to OX(x-axis) which passes through the point (0,0) ,(2,1) ,(4,-1).​

Answer 1

Answer:

•(y−k)

2

=4a(x−h)

It passes through (0,0)

k

2

=−4ah ---(1)

It passes through (2,1)

(k−1)

2

=4a(2−h) ---(2)

It passes through (4,−1)

(k+1)

2

=4a(4−h) ---(3)

(2) + (3)

2(k

2

+1)=4a(6−2h)

2k

2

+2=24a+2k

2

( form eq (1) )

4a=

3

1

∴ length of LR =

3

1