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Parabola problem where the equation equals zero. Help solve please?
I have looked all over the internet but I cannot find a problem similar to this one to help me. The problem states
Find the vertices, foci, and asymptotes of the hyperbola.
(x^2)− (y^2) + 4 = 0
I have solved these when they are equal to 1but now i am stuck on this one.
2 Answers
- 8 years agoFavorite Answer
What you're looking for is the "y" coordinate of (0,y).
(1) Add -(x^2) to both sides.
. . . . . -(y^2) + 4 = -(x^2)
(2) Add -4 to both sides.
. . . . . -(y^2) = -(x^2) - 4
(3) Multiply both sides by -1
. . . . . (y^2) = (x^2) +4
(4) Set x to 0 (zero) and solve...
. . . . . (y^2) = 4
That would make the solution set (0,-2) and (0,2).
- stinnettLv 44 years ago
The equation given isn't the equation of a parabola. it is basically a quadratic equation in x. If the equation have been y=a million/4(x^2-2x+5) then it could the equation of a parabola that would desire to be rewritten as y=a million/4(x-a million)^2 +a million.
