It seems you've uploaded an image related to transformations of functions. I can help explain the graphs and how they correspond to each other. The two graphs depict exponential functions:

1. The blue curve represents the function $f(x) = 3^{x} + 4$, which has a horizontal asymptote at $y = 4$. It rises exponentially as $x$ increases.
2. The red curve represents the function $g(x) = f(x - 5)$, which is essentially the same as $f(x)$ but shifted 5 units to the right. This means the graph of $g(x)$ has the same shape as $f(x)$, but starts later by 5 units along the x-axis.

The green dashed line in both graphs shows the horizontal asymptote $y = 4$, which both functions approach but never cross.

The key takeaway here is that the transformation from $f(x)$ to $g(x)$ is a horizontal translation to the right by 5 units.

Would you like a further explanation of how horizontal translations work or additional examples?