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Popular >

foci-x^2+3x-5

Solution

foci

- x^{2} + 3 x - 5

Solution

(\frac{3}{2}, - 3)

Solution steps

Rewrite

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

in the standard form

4 (- \frac{1}{4}) (y - (- \frac{11}{4})) = (x - \frac{3}{2})^{2}

(h, k) = (\frac{3}{2}, - \frac{11}{4}), p = - \frac{1}{4}

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

p

from the center

(\frac{3}{2}, - \frac{11}{4})

along the y-axis

(\frac{3}{2}, - \frac{11}{4} + p)

= (\frac{3}{2}, - \frac{11}{4} + (- \frac{1}{4}))

Refine

(\frac{3}{2}, - 3)

Popular Examples

foci y=-1/3 x^2 foci

y = - \frac{1}{3} x^{2}

foci x^2=8y+2x-33 foci

x^{2} = 8 y + 2 x - 33

foci (x-4)^2=20(y+5)foci

(x - 4)^{2} = 20 (y + 5)

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

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

foci y= 1/4 (x+3)^2-5 foci

y = \frac{1}{4} (x + 3)^{2} - 5

Frequently Asked Questions (FAQ)

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