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Popular >

foci x^2+4x-1

Solution

foci

x^{2} + 4 x - 1

Solution

(- 2, - \frac{19}{4})

Solution steps

Rewrite

y = x^{2} + 4 x - 1

in the standard form

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

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

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

p

from the center

(- 2, - 5)

along the y-axis

(- 2, - 5 + p)

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

Refine

(- 2, - \frac{19}{4})

Popular Examples

foci (x+5)^2=4(y-1)foci

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

foci (x-5)^2-2(y+2)=0 foci

(x - 5)^{2} - 2 (y + 2) = 0

foci (x+5)^2=-12(y-3)foci

(x + 5)^{2} = - 12 (y - 3)

foci y=(x-4)(x-7)foci

y = (x - 4) (x - 7)

foci x^2=8(y+4)foci

x^{2} = 8 (y + 4)

Frequently Asked Questions (FAQ)

What is the foci x^2+4x-1 ?
The foci x^2+4x-1 is (-2,-19/4)