Question

Identify the conic section represented by the equation y^2 -3x +4y +7 = 0

Answer 1

Answer:

Parabola

Step-by-step explanation:

Remember that the general equation for the parabola is:

(x - h)2 = 4p (y - k)

This means that when you have an equation where only one of the variables is squared you are dealing with a parabola, in this case you have a parabola that grows horizontally, since Y can assume values in the whole spectrum from minus infinite to infinite but X not all of them.

Answer 2

Answer:

Parabola

Step-by-step explanation:

When only one variable is squared, the conic is a parabola.

_____

both squared, same sign, same coefficient: circle

both squared, same sign, different coefficients: ellipse

both squared, different signs: hyperbola