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Popular Geometry >

foci-x^2-2x+3

Solution

foci

Solution

(- 1, \frac{15}{4})

Solution steps

Rewrite

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

in the standard form

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

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

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

p

from the center

(- 1, 4)

along the y-axis

(- 1, 4 + p)

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

Refine

(- 1, \frac{15}{4})

Graph

Popular Examples

foci y=(sqrt(x))^4+6(sqrt(x))^2-1

foci (y-2)^2=16(x+1)

foci 6x-8y+15-x^2=0

foci x^2-8x+2y+7=0

Frequently Asked Questions (FAQ)

What is the foci-x^2-2x+3 ?
The foci-x^2-2x+3 is (-1, 15/4)