Question

Graph -3x^2+ 12y^2 = 84. What are the domain and range.

Answer 1

Is there any value for x which does not have a corresponding y-value somewhere on the graph?

Answer 2

looks like a hyperbola

Answer 3

1. divide throughout by 3
2. then express in standard form
\[-\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\]

Answer 4

I already simplified it which is
\[\sqrt{7 + 1/4x^2}\]