This is how a minimal working example of this kind of slides would look like:
% figure and text side by side latex \documentclass{beamer} % Theme choice \usetheme{Berlin} \begin{document} \begin{frame}{An archetypical frame} % start the columns environment \begin{columns}[c] % create the column with the text, that occupies half of the slide \begin{column}{.5\textwidth} % wrap the text inside a block, so it looks better \begin{block}{Functions} The plot with teal color corresponds to the function $y=(x^3-1)^2$ and the plot with red color corresponds to the function $y=(x^{11}-1)^2$ \end{block} \end{column} % create the column with the image, that also occupies half of the slide \begin{column}{.5\textwidth} % command to actually insert the image \centering \includegraphics[scale=0.2]{PlotFunctions.png} \end{column} \end{columns}. \end{frame} \end{document}
The result of this code looks like what is shown below:
To test the code, you can download the used image: PlotFunctions.PNG.