y=-(1/32)(x+1)^2+4

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Solution for y=-(1/32)(x+1)^2+4 equation: 


x in (-oo:+oo)

y = 4-((1/32)*(x+1)^2) // - 4-((1/32)*(x+1)^2)

(1/32)*(x+1)^2+y-4 = 0

1/32*(x+1)^2+y-4 = 0

1/32*(x+1)^2+y-4 = 0

1/32*x^2+1/16*x+y-4+1/32 = 0

1/32*x^2+1/16*x+y-127/32 = 0

1/32*x^2+1/16*x+y-127/32 = 0

1/32*x^2+1/16*x+y-127/32 = 0

DELTA = (1/16)^2-(1/32*4*(y-127/32))

DELTA = 1/256-1/8*(y-127/32)

1/256-1/8*(y-127/32) = 0

(-1/8*256*(y-127/32))/256+1/256 = 0

1-1/8*256*(y-127/32) = 0

128-32*y = 0

(128-32*y)/256 = 0

(128-32*y)/256 = 0 // * 256

128-32*y = 0

128-32*y = 0 // - 128

-32*y = -128 // : -32

y = -128/(-32)

y = 4

DELTA = 0  <=>  t_3 = 4

x = -1/16/(1/32*2) i y = 4

x = -1 i y = 4

( x = ((1/256-1/8*(y-127/32))^(1/2)-1/16)/(1/32*2) or x = (-(1/256-1/8*(y-127/32))^(1/2)-1/16)/(1/32*2) ) i y > 4

( x = 16*((1/256-1/8*(y-127/32))^(1/2)-1/16) or x = -16*((1/256-1/8*(y-127/32))^(1/2)+1/16) ) i y > 4

y-4 > 0

y-4 > 0 // + 4

y > 4

x in { -1, 16*((1/256-1/8*(y-127/32))^(1/2)-1/16), -16*((1/256-1/8*(y-127/32))^(1/2)+1/16) }

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