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Here is another option:

var('y')
p=region_plot([y>=x-3,x>=y^2+2*y-3],(x,-10,20),(y,-8,10))
p+=implicit_plot(x==y^2+2*y-3,(x,-10,20),(y,-8,10),color='black')
p+=plot(x-3,(x,-10,20),color='black')
show(p,axes=True,frame=False )