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Elm5a6cliviaDyr
Elm5a6cliviaDyr Elm5a6cliviaDyr
  • 20-05-2016
  • Mathematics
Answered

The equation of a parabola is shown.

x-7=3/4y^2

What are the coordinates of the focus?

A.) (71/3,0)

B.) (7,-1/3)

C.) 73/4,0)

D.) 7,-3/4)

Verified Answer :

Anonymous Anonymous
  • 02-06-2016

The axis of symmetry for this parabola is the x-axis. The general form of the equation is:
4p(x-h) = (y-k)^2
where the focus has the coordinates of (h+p,k)

Manipulating the given equation to the general form:
4(1/3)(x-7)^2 = (y - 0)^2

Therefore the coordinates of the focus is:
(7+(1/3),0)

The answer is A.) (71/3,0)


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