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11-06-2016
Mathematics

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What is an equation of a parabola with the given vertex and focus? vertex: (5, 4) ; focus: (8, 4)

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taskmasters taskmasters

11-06-2016

The parabola is opens upward.

a = (8 – 5)

= 3

Using the standard form:

(x – h)^2 = 4a(y – k)

(x -5)^2 = 12( y – 4)

In general form

x^2 -10x +25 =12y – 48

x^2 -10x -12y + 73 =0

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