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What is the equation of the parabola with focus (0,1/8) and vertex at the origin?
1 Answer
Explanation:
Please observe that the vertex, #(0,0)#, and the focus, #(0,1/8)#, are separated by a vertical distance of #1/8# in the positive direction; this means that the parabola opens upward. The vertex form of the equation for a parabola that opens upward is:
#y = a(x-h)^2+k' [1]'#
where #(h,k)# is the vertex. Mac videoripper pro 1 0 5 download free.
Substitute the vertex, #(0,0)#, into equation [1]:
How to right click on an ipad pro. #y = a(x-0)^2+0#
Focus 1 8 7 8
Simplify:
Video proc 3 5 20200120 cheat. #y = ax^2' [1.1]'#
A characteristic of the coefficient #a# is:
#a = 1/(4f)' [2]'#
where #f# is the signed distance from the vertex to the focus.
Substitute #f = 1/8# into equation [2]:
Focus 1 8 7 Equals
#a = 1/(4(1/8)#
Focus 1 8 7 Cm
Xbox smartglass app windows 7. #a = 2' [2.1]'#
Substitute equation [2.1] into equation [1.1]:
Focus 1 8 7 X 8
Can you use photoshop offline. #y = 2x^2#
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