Function Transformation Identity

When the graph of a certain function $ f(x) $ is shifted $ 2 $ units to the right and stretched vertically by a factor of $ 2 $ (meaning that all $ y $-coordinates are doubled), the resulting figure is identical to the original graph. Given that $ f(0)=0.1 $, what is $ f(10) $?

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  • 2
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  • -
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  • $\frac{a}{b}$
  • .
  • 0
  • =
  • %
  • $a^n$
  • $a^{\circ}$
  • $a_n$
  • $\sqrt{}$
  • $\sqrt[n]{}$
  • $\pi$
  • $\ln{}$
  • $\log$
  • $\theta$
  • $\sin{}$
  • $\cos{}$
  • $\tan{}$
  • $($
  • $)$
  • $[$
  • $]$
  • $\cap$
  • $\cup$
  • $,$
  • $\infty$