Write an equation (any form) for the quadratic graphed below

The equation for the quadratic graphed is [tex]2x^{2}+4x+2[/tex].Let the quadratic equation be [tex]y =a x^{2}+bx+c[/tex]Points given in graph,A(-1,0), B(-2,2), C(0,2)Put the values in quadratic equationFor C(0,2)[tex]2 =a(0)^{2}+b(0)+c[/tex][tex]2 = 0+0+c[/tex]c = 2For A(-1,0)[tex]0 =a(-1)^{2}+b(-1)+2[/tex][tex]a-b+2 = 0[/tex]a - b = -2              ...........(i)For B(-2,2)[tex]2 =a(-2)^{2}+b(-2)+2[/tex][tex]4a-2b+2=2[/tex]2a - b = 0            ............(ii)Solving eq (i) and (ii)a = 2b = 4Putting the value of a, b and c in quadratic equation,[tex]y =2x^{2}+4x+2[/tex]To learn more about equation here:https://brainly.com/question/10413253#SPJ1