a line graph
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I am assuming the you are talking about the graph of the derivative. The graph of the derivative of F(x) is the graph such that, for any x, the value of x on the graph of the derivative of F(x) is the slope at point x in F(x).
The graph of g(x) is the graph of f(x) shifted 6 units in the direction of positive x.
The y axis is going up on the graph and the x axis is going sideways on the graph
This graph is called the x graph.
When a function is multiplied by -1 its graph is reflected in the x-axis.