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Popular >

foci (x-1)^2+2

Solution

foci

(x - 1)^{2} + 2

Solution

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

Solution steps

Rewrite

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

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 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

foci y=3x^2 foci

y = 3 x^{2}

foci y=9-(x-2)^2 foci

y = 9 - (x - 2)^{2}

foci x^2=6y foci

x^{2} = 6 y

Frequently Asked Questions (FAQ)

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