#1) Graph y^2==12*x
var('y')
solve(y^2==12*x,y)
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plot([-sqrt(12*x),sqrt(12*x)],0,3,aspect_ratio=1)
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#2) Graph y^2==-8*x
solve(y^2==-8*x,y)
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plot([-sqrt(-8*x),sqrt(-8*x)],-2,0,aspect_ratio=1)
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#3) Graph x^2==-12*y
solve(x^2==-12*y,y)
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plot([-x^2/12],-6,6,aspect_ratio=1)
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#4) Graph (y-3)^2==8*(x+3)
solve((y-3)^2==8*(x+3),y)
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plot([3+sqrt(8*x+24),3-sqrt(8*x+24)],-3,1,aspect_ratio=1)
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#5) Graph x^2+4*x-4*y==0
solve(x^2+4*x-4*y==0,y)
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plot([x^2/4+x],-4,0,aspect_ratio=1)
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