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An astronomical researcher is using software to study the parabolic path of an asteroid. By entering the equation for the path of the asteroid, the researcher could determine if the asteroid would collide with any other bodies in the near future. The equation for the asteroid’s path is . However, the application cannot accept the xy term; instead, the software allows the researcher to rotate the parabola. If the coordinate axes are rotated to coincide with the axes of the parabola, the researcher can use the equation of the new parabola and provide the angle of rotation. What will be the equ
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x'2 = -16y' x'2 = 4y' y'2 = -4x' y'2 = 8x' y'2 = 2x'
equation is x^2-2xy+y^2-(2/sqrt2)x-(2/sqrt2)y=0
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