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Popular Geometry >

foci x^2-4x+3

Solution

foci

Solution

(2, - \frac{3}{4})

Solution steps

Rewrite

y = x^{2} - 4 x + 3

in the standard form

4 \cdot \frac{1}{4} (y - (- 1)) = (x - 2)^{2}

(h, k) = (2, - 1), p = \frac{1}{4}

Parabola is symmetric around the y-axis and so the focus lies a distance

p

from the center

(2, - 1)

along the y-axis

(2, - 1 + p)

= (2, - 1 + \frac{1}{4})

Refine

(2, - \frac{3}{4})

Graph

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Frequently Asked Questions (FAQ)

What is the foci x^2-4x+3 ?
The foci x^2-4x+3 is (2,-3/4)