Given :
The equation is given as
[tex]\frac{y}{4}=\frac{(x+2)^2}{2}[/tex]Explanation :
Simplify the equation to identify the given function is parabola , ellipse or circle.
[tex]\frac{y}{4}=\frac{x^2+4x+4}{2}[/tex][tex]y=2(x^2+4x+4)[/tex]Answer :
The equation is parabola and the graph is defined as