What is y^2-3y+9/4 =-5x-2+9/4 ?

The solution to y^2-3y+9/4 =-5x-2+9/4 is Parabola with (h,k)=(1/20 , 3/2),p=-5/4

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y^2-3y+9/4 =-5x-2+9/4

y^{2} - 3 y + \frac{9}{4} = - 5 x - 2 + \frac{9}{4}

(h, k) = (\frac{1}{20}, \frac{3}{2}), p = - \frac{5}{4}

Solution steps

y^{2} - 3 y + \frac{9}{4} = - 5 x - 2 + \frac{9}{4}

Rewrite

y^{2} - 3 y + \frac{9}{4} = - 5 x - 2 + \frac{9}{4}

in the standard form

4 (- \frac{5}{4}) (x - \frac{1}{20}) = (y - \frac{3}{2})^{2}

Therefore parabola properties are:

(h, k) = (\frac{1}{20}, \frac{3}{2}), p = - \frac{5}{4}

x^{2} - 6 + k (x) = 0

(x - 3)^{2} - 1 f (x) = - 2 x^{2} + 8 x + 5

y^{2} + 8 y + 6 x + 16 = 0

2 x^{2} - 20 x - 2 m (x) > 0

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

What is y^2-3y+9/4 =-5x-2+9/4 ?
The solution to y^2-3y+9/4 =-5x-2+9/4 is Parabola with (h,k)=(1/20 , 3/2),p=-5/4