Identify the conic section 4x^2-y=0 explain how
The conic section described by the equation 4x^2 - y = 0 is a parabola. This can be identified by the fact that the equation is in the standard form of a parabola where the x^2 term is multiplied by a constant (4) and the y term is alone on one side of the equation.
When graphed, this equation will result in a parabolic shape opening upwards or downwards, depending on the value of the coefficient of the x^2 term (in this case, positive 4 indicates that the parabola opens upwards). This confirms that the conic section described is a parabola.