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Popular >

foci 1-x-x^2

Solution

foci

1 - x - x^{2}

Solution

(- \frac{1}{2}, 1)

Solution steps

Rewrite

y = 1 - x - x^{2}

in the standard form

4 (- \frac{1}{4}) (y - \frac{5}{4}) = (x - (- \frac{1}{2}))^{2}

(h, k) = (- \frac{1}{2}, \frac{5}{4}), p = - \frac{1}{4}

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

p

from the center

(- \frac{1}{2}, \frac{5}{4})

along the y-axis

(- \frac{1}{2}, \frac{5}{4} + p)

= (- \frac{1}{2}, \frac{5}{4} + (- \frac{1}{4}))

Refine

(- \frac{1}{2}, 1)

Popular Examples

foci 4x^2-20x-24y+97=0 foci

4 x^{2} - 20 x - 24 y + 97 = 0

foci y^2=x+1 foci

y^{2} = x + 1

foci y=x^2-4x3 foci

y = x^{2} - 4 x 3

foci (x+sqrt(2))(x-sqrt(2))foci

(x + 2) (x - 2)

foci (y-2)^2=12(x+1)foci

(y - 2)^{2} = 12 (x + 1)

Frequently Asked Questions (FAQ)

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