y-(-1)=1/4(-3)(x-3)2

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Solution for y-(-1)=1/4(-3)(x-3)2 equation: 


x in (-oo:+oo)

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

y-(-3*(1/4)*(x-3)^2)+1 = 0

(3/4)*(x-3)^2+y+1 = 0

3/4*(x-3)^2+y+1 = 0

3/4*(x-3)^2+y+1 = 0

3/4*x^2-9/2*x+y+1+27/4 = 0

3/4*x^2-9/2*x+y+31/4 = 0

3/4*x^2-9/2*x+y+31/4 = 0

3/4*x^2-9/2*x+y+31/4 = 0

DELTA = (-9/2)^2-(3/4*4*(y+31/4))

DELTA = 81/4-3*(y+31/4)

81/4-3*(y+31/4) = 0

(-3*4*(y+31/4))/4+81/4 = 0

81-3*4*(y+31/4) = 0

-12*y-12 = 0

(-12*y-12)/4 = 0

(-12*y-12)/4 = 0 // * 4

-12*y-12 = 0

-12*y-12 = 0 // + 12

-12*y = 12 // : -12

y = 12/(-12)

y = -1

DELTA = 0  <=>  t_3 = -1

x = 9/2/(3/4*2) i y = -1

x = 3 i y = -1

( x = ((81/4-3*(y+31/4))^(1/2)+9/2)/(3/4*2) or x = (9/2-(81/4-3*(y+31/4))^(1/2))/(3/4*2) ) i y > -1

( x = 2/3*((81/4-3*(y+31/4))^(1/2)+9/2) or x = 2/3*(9/2-(81/4-3*(y+31/4))^(1/2)) ) i y > -1

y+1 > 0

y+1 > 0 // - 1

y > -1

x in { 3, 2/3*((81/4-3*(y+31/4))^(1/2)+9/2), 2/3*(9/2-(81/4-3*(y+31/4))^(1/2)) }

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