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

Question

Mathematics

Shirley

1 November, 16:59

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

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Answers (1)

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Destinee Wise · Answer 1

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