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Popular >

foci-2x^2+3x

Solution

foci

- 2 x^{2} + 3 x

Solution

(\frac{3}{4}, 1)

Solution steps

Rewrite

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

in the standard form

4 (- \frac{1}{8}) (y - \frac{9}{8}) = (x - \frac{3}{4})^{2}

(h, k) = (\frac{3}{4}, \frac{9}{8}), p = - \frac{1}{8}

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

p

from the center

(\frac{3}{4}, \frac{9}{8})

along the y-axis

(\frac{3}{4}, \frac{9}{8} + p)

= (\frac{3}{4}, \frac{9}{8} + (- \frac{1}{8}))

Refine

(\frac{3}{4}, 1)

Popular Examples

foci x^2-5x+4 foci

x^{2} - 5 x + 4

foci-0.2t^2+1.6t+98.4 foci

- 0.2 t^{2} + 1.6 t + 98.4

foci y=x^2-6x-3 foci

y = x^{2} - 6 x - 3

foci-y^2=6y+x foci

- y^{2} = 6 y + x

foci (y+1)^2=16(x-3)foci

(y + 1)^{2} = 16 (x - 3)

Frequently Asked Questions (FAQ)

What is the foci-2x^2+3x ?
The foci-2x^2+3x is (3/4 ,1)