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Popular >

foci-3x^2+5x

Solution

foci

- 3 x^{2} + 5 x

Solution

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

Solution steps

Rewrite

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

in the standard form

4 (- \frac{1}{12}) (y - \frac{25}{12}) = (x - \frac{5}{6})^{2}

(h, k) = (\frac{5}{6}, \frac{25}{12}), p = - \frac{1}{12}

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

p

from the center

(\frac{5}{6}, \frac{25}{12})

along the y-axis

(\frac{5}{6}, \frac{25}{12} + p)

= (\frac{5}{6}, \frac{25}{12} + (- \frac{1}{12}))

Refine

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

Popular Examples

foci (x-1)^2=-2y-11 foci

(x - 1)^{2} = - 2 y - 11

foci (x+3)^2=12(y-5)foci

(x + 3)^{2} = 12 (y - 5)

foci x^2-6x foci

x^{2} - 6 x

foci x^2-3x foci

x^{2} - 3 x

foci x^2-10x+15 foci

x^{2} - 10 x + 15

Frequently Asked Questions (FAQ)

What is the foci-3x^2+5x ?
The foci-3x^2+5x is (5/6 ,2)