How is the graph of $h(x)=1/2x^2$ related to the graph of $f(x)=x^2$ ?

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Answer 1 · 2017-05-29T14:56:32

See below.

graph{y=x^2 [-10, 10, -5, 5]}

The $1/2$ makes the graph open up slower and wider.

graph{1/2x^2 [-10, 10, -5, 5]}

How is the graph of h(x)=1/2x^2h(x)=1/2x^2 related to the graph of f(x)=x^2f(x)=x^2?