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Popular >

foci x^2-x-6

Solution

foci

x^{2} - x - 6

Solution

(\frac{1}{2}, - 6)

Solution steps

Rewrite

y = x^{2} - x - 6

in the standard form

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

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

along the y-axis

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

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

Refine

(\frac{1}{2}, - 6)

Popular Examples

foci x^2-x+1 foci

x^{2} - x + 1

foci (x-3)^2=-4(y+1)foci

(x - 3)^{2} = - 4 (y + 1)

foci y=4x^2+12x+3 foci

y = 4 x^{2} + 12 x + 3

foci y^2=x foci

y^{2} = x

foci y=3x^2-12x+8 foci

y = 3 x^{2} - 12 x + 8

Frequently Asked Questions (FAQ)

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