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Popular >

foci 5x^2-15x

Solution

foci

5 x^{2} - 15 x

Solution

(\frac{3}{2}, - \frac{56}{5})

Solution steps

Rewrite

y = 5 x^{2} - 15 x

in the standard form

4 \cdot \frac{1}{20} (y - (- \frac{45}{4})) = (x - \frac{3}{2})^{2}

(h, k) = (\frac{3}{2}, - \frac{45}{4}), p = \frac{1}{20}

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

p

from the center

(\frac{3}{2}, - \frac{45}{4})

along the y-axis

(\frac{3}{2}, - \frac{45}{4} + p)

= (\frac{3}{2}, - \frac{45}{4} + \frac{1}{20})

Refine

(\frac{3}{2}, - \frac{56}{5})

Popular Examples

foci x^2+6y=0 foci

x^{2} + 6 y = 0

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

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

foci 9-3x^2 foci

9 - 3 x^{2}

foci y^2+8x-4y+20=0 foci

y^{2} + 8 x - 4 y + 20 = 0

foci x^2+6x-7 foci

x^{2} + 6 x - 7

Frequently Asked Questions (FAQ)

What is the foci 5x^2-15x ?
The foci 5x^2-15x is (3/2 ,-56/5)