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Popular >

foci-x^2+4x

Solution

foci

- x^{2} + 4 x

Solution

(2, \frac{15}{4})

Solution steps

Rewrite

y = - x^{2} + 4 x

in the standard form

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

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

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

p

from the center

(2, 4)

along the y-axis

(2, 4 + p)

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

Refine

(2, \frac{15}{4})

Popular Examples

foci y^2-4x-4=0 foci

y^{2} - 4 x - 4 = 0

foci-1/2 (x-4)^2+3 foci

- \frac{1}{2} (x - 4)^{2} + 3

foci (x-6)^2=+8(y-2)foci

(x - 6)^{2} = + 8 (y - 2)

foci y= 1/8 (x^2-4x-12)foci

y = \frac{1}{8} (x^{2} - 4 x - 12)

foci (y-2)^2+16(x-3)=0 foci

(y - 2)^{2} + 16 (x - 3) = 0

Frequently Asked Questions (FAQ)

What is the foci-x^2+4x ?
The foci-x^2+4x is (2, 15/4)