Question #2a163

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Answer 1 · 2018-01-31T12:03:22

The equation of parabola is #y = 9.25 x^2 #

Vertex form of equation of parabola is

#y = a(x-h)^2+k ; (h,k)# being vertex. here #h=0 , k=0#

Hence the equation of parabola is #y = a(x-0)^2+0 # or

#y = a x^2 #. Directrix is #y=-1/37#. Vertex is at midway

between focus and directrix. Here the directrix is below

the vertex , so parabola opens upward and #a# is positive.

Distance of vertex from directrix is #d= 1/37#, we know

# d = 1/(4|a|):. 1/37 = 1/(4|a|) or a= 37/4=9.25#.

Therefore, the equation of parabola is #y = 9.25 x^2 #

graph{9.25x^2 [-10, 10, -5, 5]} [Ans]