Match the graph to one of the following functions:

(a) $f\left(x\right)=x^2+4$

(b) $f\left(x\right)=x^2-4$

(c) $f\left(x\right)={\left(x+4\right)}^2$

(d) $f\left(x\right)={\left(x-4\right)}^2$

(e) $f\left(x\right)={\left(x+4\right)}^2-4$

(f) $f\left(x\right)={\left(x+4\right)}^2+4$

(g)$f\left(x\right)={\left(x-4\right)}^2-4$

(h)$f\left(x\right)={\left(x-4\right)}^2+4$

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