Question

привести $y=2x^{2}+4x+1</var></p> <p><var> x^{2}=-2y$ к каноническому виду

Answer 1

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

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x^2=-2y

y=-1/2 x^2