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Popular >

foci y=1-x-x^2

Solution

foci

y = 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^2-4x+21 foci

4 x^{2} - 4 x + 21

foci y=(x+314)^2 foci

y = (x + 314)^{2}

foci (x-1)^2+2 foci

(x - 1)^{2} + 2

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

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

foci x^2+14x-8y+65=0 foci

x^{2} + 14 x - 8 y + 65 = 0

Frequently Asked Questions (FAQ)

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