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You can add auto_update=False as an argument to the function defining the interact. For example:

@interact
def _(a=slider(0,5,step_size=0.2,default=3),
      b=slider(0,5,step_size=0.2,default=1),
      color=selector(["red","green","blue"],label="Color",default="green"),
      auto_update=False):
    show(plot(sin(a*x)+cos(b*x), (x,0,4*pi), color=color))

The interact is only updated when you press the button below the interact controls. See this SageMath Cell.

At least in a Jupyter notebook, you can also use an alternative syntax:

@interact.options(manual=True)
def _(a=slider(0,5,step_size=0.2,default=3),
      b=slider(0,5,step_size=0.2,default=1),
      color=selector(["red","green","blue"],label="Color",default="green")):
    show(plot(sin(a*x)+cos(b*x), (x,0,4*pi), color=color))

The button text can be customized. If you prefer, say, "Redraw" instead of the default text, just modify the first line in the preceding snippet as follows:

@interact.options(manual=True, manual_name="Redraw")

You can add auto_update=False as an argument to the function defining the interact. For example:

@interact
def _(a=slider(0,5,step_size=0.2,default=3),
      b=slider(0,5,step_size=0.2,default=1),
      color=selector(["red","green","blue"],label="Color",default="green"),
      auto_update=False):
    show(plot(sin(a*x)+cos(b*x), (x,0,4*pi), color=color))

The interact is only updated when you press the button below the interact controls. See this SageMath Cell.

At least in a Jupyter notebook, you can also use an alternative syntax:

@interact.options(manual=True)
def _(a=slider(0,5,step_size=0.2,default=3),
      b=slider(0,5,step_size=0.2,default=1),
      color=selector(["red","green","blue"],label="Color",default="green")):
    show(plot(sin(a*x)+cos(b*x), (x,0,4*pi), color=color))

The button text can be customized. If you prefer, say, "Redraw" instead of the default text, just modify the first line in the preceding snippet as follows:

@interact.options(manual=True, manual_name="Redraw")

@interact(layout=dict(top=[["a","b"],["color"]], bottom=[["auto"]]))
def _(a=slider(0,5, step_size=0.2, default=3),
      b=slider(0,5, step_size=0.2, default=1),
      color=selector(["red","green","blue"], label="Color", 
                      default="green", buttons=True),
      auto=UpdateButton(text="Redraw")):
    show(plot(sin(a*x)+cos(b*x), (x,0,4*pi), color=color))