Which of the following represents a parabola? posted below
By the way you can click "Edit question" just under your question to add to it.
y=a(x^2) where a is any integer
Wow, my brain is not working.
What I should have said is a parabola has a quadratic equation of the form: \[Ax^{2} + Bx + C\] In which A, B, C are constants.
It can also look like: \[(x - a)(x - b)\]
\[A. x ^{2}+y ^{2}=r ^{2}\] B. \[\frac{ y ^{2} }{ a ^{2} }+\frac{ x^2 }{ b^2}\] C. 4 px=y^2 D. \[\frac{ y^2 }{ a^2 }-\frac{ x^2 }{ b^2 }=1\]
these are the answers. ABCD are the letter choices...don't let it interfere in the problem
Alright, D is a hyperbola, A is a circle, so that leaves B or C.
And from the derivation of the quadratic equation (the history of it) we know that \[y^{2} = 4px\] is another equation for a parabola.
what about b?
I don't remember what b is offhand, but it's not a parabola.
It's not even a real equation.
Join our real-time social learning platform and learn together with your friends!