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Popular >

foci-3x^2+5x-4

Solution

foci

- 3 x^{2} + 5 x - 4

Solution

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

Solution steps

Rewrite

y = - 3 x^{2} + 5 x - 4

in the standard form

4 (- \frac{1}{12}) (y - (- \frac{23}{12})) = (x - \frac{5}{6})^{2}

(h, k) = (\frac{5}{6}, - \frac{23}{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{23}{12})

along the y-axis

(\frac{5}{6}, - \frac{23}{12} + p)

= (\frac{5}{6}, - \frac{23}{12} + (- \frac{1}{12}))

Refine

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

Popular Examples

foci (x-5)^2-4 foci

(x - 5)^{2} - 4

foci (-20x+13)^2 foci

(- 20 x + 13)^{2}

foci 2x^2+4x-16 foci

2 x^{2} + 4 x - 16

foci-x^2+4x foci

- x^{2} + 4 x

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

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

Frequently Asked Questions (FAQ)

What is the foci-3x^2+5x-4 ?
The foci-3x^2+5x-4 is (5/6 ,-2)