What is the focus of the parabola given by the equation y = x2 - 2x - 3?

Question

Mathematics

Clark Blevins

14 July, 18:35

What is the focus of the parabola given by the equation y = x2 - 2x - 3?

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Answers (1)

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Guillermo Schultz · Answer 1

What is the focus of the parabola given by the equation y = x2 - 2x - 3?

y = x2 - 2x - 3

y = x2 - 2x - 3 - 1 + 1y = (x - 1) ^2 - 4 h = 1 and k = - 4 and a = 1

Vertex (a, k) so it is (1,-4)

Now focus is

(1, - 4 + 1/4) = (1,-3 3/4)

or

(1,-3.75)