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Popular >

foci y=x^2+2x+3

Solution

foci

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

Solution

(- 1, \frac{9}{4})

Solution steps

Rewrite

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

in the standard form

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

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

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

p

from the center

(- 1, 2)

along the y-axis

(- 1, 2 + p)

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

Refine

(- 1, \frac{9}{4})

Popular Examples

foci x^2=-10y foci

x^{2} = - 10 y

foci y=3x^2+5x-4 foci

y = 3 x^{2} + 5 x - 4

foci x^2-4x+4 foci

x^{2} - 4 x + 4

foci y=-144x^2-192x-48 foci

y = - 144 x^{2} - 192 x - 48

foci y=2x^2+3x foci

y = 2 x^{2} + 3 x

Frequently Asked Questions (FAQ)

What is the foci y=x^2+2x+3 ?
The foci y=x^2+2x+3 is (-1, 9/4)