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Popular >

foci y=1-3x-x^2

Solution

foci

y = 1 - 3 x - x^{2}

Solution

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

Solution steps

Rewrite

y = 1 - 3 x - x^{2}

in the standard form

4 (- \frac{1}{4}) (y - \frac{13}{4}) = (x - (- \frac{3}{2}))^{2}

(h, k) = (- \frac{3}{2}, \frac{13}{4}), p = - \frac{1}{4}

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

p

from the center

(- \frac{3}{2}, \frac{13}{4})

along the y-axis

(- \frac{3}{2}, \frac{13}{4} + p)

= (- \frac{3}{2}, \frac{13}{4} + (- \frac{1}{4}))

Refine

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

Popular Examples

foci x^2-2x-4y+13=0 foci

x^{2} - 2 x - 4 y + 13 = 0

foci 2y^2-16y+72=20x foci

2 y^{2} - 16 y + 72 = 20 x

foci y^2+4x-8y+12=0 foci

y^{2} + 4 x - 8 y + 12 = 0

foci-x^2+4x-1 foci

- x^{2} + 4 x - 1

foci+x^2+3x-4 foci

+ x^{2} + 3 x - 4

Frequently Asked Questions (FAQ)

What is the foci y=1-3x-x^2 ?
The foci y=1-3x-x^2 is (-3/2 ,3)