10/10 points Which graph represents this exponential transformation? y=2^x-2+5

To determine which graph represents the exponential transformation $y=2^{x-2}+5$, we need to analyze the given equation.<br /><br />The equation $y=2^{x-2}+5$ is an exponential function with a horizontal shift and a vertical shift.<br /><br />The horizontal shift is determined by the term $(x-2)$ inside the exponent. This means that the graph of the function will be shifted 2 units to the right.<br /><br />The vertical shift is determined by the constant term $+5$ added to the exponential function. This means that the graph of the function will be shifted 5 units up.<br /><br />Therefore, the graph that represents this exponential transformation will have a horizontal shift of 2 units to the right and a vertical shift of 5 units up.<br /><br />Based on this analysis, the correct graph that represents the exponential transformation $y=2^{x-2}+5$ is the one that shows a horizontal shift of 2 units to the right and a vertical shift of 5 units up.