V = 
      (x^4) + 2 (x^3) + 0.9 (x^2)
Plot[V, {x, -1.5, 1. }, PlotPoints -> 30]
t = 0.25
Vt = 
      (x^4) + 12 t (x^2) + 12 (t^2) + 2 (x^3) + 12 t x + 
        0.9 ((x^2) + 2 t)
Plot[Vt, {x, -1.5, 1. }, PlotPoints -> 30]
t = 0.15
Vt = 
      (x^4) + 12 t (x^2) + 12 (t^2) + 2 (x^3) + 12 t x + 
        0.9 ((x^2) + 2 t)
Plot[Vt, {x, -1.5, 1. }, PlotPoints -> 30]
t = 0.10
Vt = 
      (x^4) + 12 t (x^2) + 12 (t^2) + 2 (x^3) + 12 t x + 
        0.9 ((x^2) + 2 t)
Plot[Vt, {x, -1.5, 1. }, PlotPoints -> 30]
t = 0.05
Vt = 
      (x^4) + 12 t (x^2) + 12 (t^2) + 2 (x^3) + 12 t x + 
        0.9 ((x^2) + 2 t)
Plot[Vt, {x, -1.5, 1. }, PlotPoints -> 30]
t = 0.03
Vt = 
      (x^4) + 12 t (x^2) + 12 (t^2) + 2 (x^3) + 12 t x + 
        0.9 ((x^2) + 2 t)
Plot[Vt, {x, -1.5, 1. }, PlotPoints -> 30]
t = 0.02
Vt = 
      (x^4) + 12 t (x^2) + 12 (t^2) + 2 (x^3) + 12 t x + 
        0.9 ((x^2) + 2 t)
Plot[Vt, {x, -1.5, 1. }, PlotPoints -> 30]
t = 0.0
Vt = 
      (x^4) + 12 t (x^2) + 12 (t^2) + 2 (x^3) + 12 t x + 
        0.9 ((x^2) + 2 t)
Plot[Vt, {x, -1.5, 1. }, PlotPoints -> 30]