What is 3y=21x^2+9x+6 ?

The solution to 3y=21x^2+9x+6 is Parabola with (h,k)=(-3/14 , 47/28),p= 1/28

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3y=21x^2+9x+6

3 y = 21 x^{2} + 9 x + 6

(h, k) = (- \frac{3}{14}, \frac{47}{28}), p = \frac{1}{28}

Solution steps

3 y = 21 x^{2} + 9 x + 6

Rewrite

3 y = 21 x^{2} + 9 x + 6

in the standard form

4 \cdot \frac{1}{28} (y - \frac{47}{28}) = (x - (- \frac{3}{14}))^{2}

Therefore parabola properties are:

(h, k) = (- \frac{3}{14}, \frac{47}{28}), p = \frac{1}{28}

(x + 2)^{2} = 8 (y - 2)

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

x = y^{2} - 4 y + 9

2 y^{2} + 3 x = 4 x + 5

y = x^{2} + 10 x + 26

What is 3y=21x^2+9x+6 ?
The solution to 3y=21x^2+9x+6 is Parabola with (h,k)=(-3/14 , 47/28),p= 1/28