The graph of g(x)=f(x)-c is the graph of f shifted downward c units.
The graph of g(x)=f(x+c) is the graph of f shifted c units to the left.
The graph of g(x)=f(x-c) is the grapg of f shifted c units to the right.
The graph of g(x)=-f(x) is the graph of f reflected across the x-axis.
The graph of g(x)=f(-x) is the graph of f reflected across the y-axis.
The graph of g(x)=c X f (x) is the graph of f stretched or compressed vertically by a factor of c.
The graph of g(x)= f(c X x) is the graph of f stretched or compressed horzontally by a factor of 1/c.
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