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Popular >

foci y=3x^2-5x

Solution

foci

y = 3 x^{2} - 5 x

Solution

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

Solution steps

Rewrite

y = 3 x^{2} - 5 x

in the standard form

4 \cdot \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 2x^2-12x+14-14y=0 foci

2 x^{2} - 12 x + 14 - 14 y = 0

foci x=-3y^2+5 foci

x = - 3 y^{2} + 5

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

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

foci 6x^2-24x-30 foci

6 x^{2} - 24 x - 30

foci x^2+y=4 foci

x^{2} + y = 4

Frequently Asked Questions (FAQ)

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