1. Graphing f(x) = ax^40
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Recall that the graph of f(x)=- ax^2 is a reflection in the x-axis of the graph of f(x)=ax^2.
Always
We see that the graph of f(x)=ax^2 is narrower than the graph of g(x)=x^2 when a > 1. It is also true for the reflection in the x-axis of the graphs of the functions. In other words, it is true for all a < - 1. Hence, the graph of f is always narrower.