Question

write the equation x^2 + 4y^2 - 6x - 7=0 in the standard form. state whether the graph is a parabola, circle, ellipse, or hyperbola.

Answer 1

complete the square twice and you will get the standard form
it is an ellipse because you have \(x^2+4y^2\) the coefficients are not the same, which means it is not a circle, and you have a plus sign there, which means it is an ellipse and not a hyperola