SOLUTION: *Write an eqaution in standard(graphing) form *State which of the following (parabola, circle, elipsem or hyperbola)each represents. --y=3x^2 - 24x+50 --x^2-4y^2-6x+16y-11=0

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: *Write an eqaution in standard(graphing) form *State which of the following (parabola, circle, elipsem or hyperbola)each represents. --y=3x^2 - 24x+50 --x^2-4y^2-6x+16y-11=0       Log On


   

Question 303167: *Write an eqaution in standard(graphing) form
*State which of the following (parabola, circle, elipsem or hyperbola)each represents.
--y=3x^2 - 24x+50
--x^2-4y^2-6x+16y-11=0
--x^2+y^2-6x-2y-6=0
--4x^2+y^2-8x+6y-23=0
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
y=3x%5E2+-+24x%2B50
Parabola
+graph%28+300%2C+300%2C+-5%2C+15%2C+-5%2C+15%2C+3x%5E2+-+24x%2B50%29+
.
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x%5E2-4y%5E2-6x%2B16y-11=0
Could only be a hyperbola.
Unequal coefficients and unequal signs for x%5E2 and y%5E2 terms. Complete the square in x and y to verify.
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.
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x%5E2%2By%5E2-6x-2y-6=0
Could only be a circle
Equal coefficients and equal signs for x%5E2 and y%5E2 terms.
Complete the square in x and y to verify.
.
.
.
4x%5E2%2By%5E2-8x%2B6y-23=0
Could only be an ellipse.
Unequal coefficients and equal signs for x%5E2 and y%5E2 terms.
Complete the square in x and y to verify.