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Popular >

foci 5x-x^2

Solution

foci

5 x - x^{2}

Solution

(\frac{5}{2}, 6)

Solution steps

Rewrite

y = 5 x - x^{2}

in the standard form

4 (- \frac{1}{4}) (y - \frac{25}{4}) = (x - \frac{5}{2})^{2}

(h, k) = (\frac{5}{2}, \frac{25}{4}), p = - \frac{1}{4}

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

p

from the center

(\frac{5}{2}, \frac{25}{4})

along the y-axis

(\frac{5}{2}, \frac{25}{4} + p)

= (\frac{5}{2}, \frac{25}{4} + (- \frac{1}{4}))

Refine

(\frac{5}{2}, 6)

Popular Examples

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

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

foci y=5x^2-15x foci

y = 5 x^{2} - 15 x

foci x^2+4x-y+1=0 foci

x^{2} + 4 x - y + 1 = 0

foci+y^2-4y+4x=-16 foci

+ y^{2} - 4 y + 4 x = - 16

foci-2x^2+8x foci

- 2 x^{2} + 8 x

Frequently Asked Questions (FAQ)

What is the foci 5x-x^2 ?
The foci 5x-x^2 is (5/2 ,6)