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Popular >

foci y=4x-x^2

Solution

foci

y = 4 x - x^{2}

Solution

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

Solution steps

Rewrite

y = 4 x - x^{2}

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^2-12x-2y+25=0 foci

y^{2} - 12 x - 2 y + 25 = 0

foci-x^2+4x+5 foci

- x^{2} + 4 x + 5

foci x=-3y^2 foci

x = - 3 y^{2}

foci (y-7)^2=-12(x+1)foci

(y - 7)^{2} = - 12 (x + 1)

foci x^2-6x-12y+21=0 foci

x^{2} - 6 x - 12 y + 21 = 0

Frequently Asked Questions (FAQ)

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