How is the graph of $g(x)=-10+x^2$ related to the graph of $f(x)=x^2$ ?

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Answer 1 · 2017-07-24T10:16:07

$g(x)$ can be made from $f(x)$ by translation (moving)

$g(x)=f(x)-10$ , in other words, the standard $f(x)$ is moved $10$ down.
graph{x^2-10 [-22.8, 22.8, -11.4, 11.4]}

How is the graph of g(x)=-10+x^2g(x)=-10+x^2 related to the graph of f(x)=x^2f(x)=x^2?