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Popular >

foci+y=2x^2-x-6

Solution

foci

+ y = 2 x^{2} - x - 6

Solution

(\frac{1}{4}, - 6)

Solution steps

Rewrite

y = 2 x^{2} - x - 6

in the standard form

4 \cdot \frac{1}{8} (y - (- \frac{49}{8})) = (x - \frac{1}{4})^{2}

(h, k) = (\frac{1}{4}, - \frac{49}{8}), p = \frac{1}{8}

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

p

from the center

(\frac{1}{4}, - \frac{49}{8})

along the y-axis

(\frac{1}{4}, - \frac{49}{8} + p)

= (\frac{1}{4}, - \frac{49}{8} + \frac{1}{8})

Refine

(\frac{1}{4}, - 6)

Popular Examples

foci x^2+2x-3 foci

x^{2} + 2 x - 3

foci x^2+2x-1 foci

x^{2} + 2 x - 1

foci (x-5)^2=4(y-3)foci

(x - 5)^{2} = 4 (y - 3)

foci y^2-10y+4x+21=0 foci

y^{2} - 10 y + 4 x + 21 = 0

foci 0.3x^2-66x+23114 foci

0.3 x^{2} - 66 x + 23114

Frequently Asked Questions (FAQ)

What is the foci+y=2x^2-x-6 ?
The foci+y=2x^2-x-6 is (1/4 ,-6)