What is the best approximation, in the inf-norm on the interval $[-1,1]$, of $\cosh(x)$ by a quadratic polynomial?

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I am studying for an examination and this is a problem from a few years back:

What is the best approximation, in the inf-norm on the interval $[-1,1]$, of $\cosh(x)$ by a quadratic polynomial?

Any tips or direction would be great!