(Solved): Use transformations of the graph of \( f(x)=e^{x} \) to graph the given function. Be sure to give t ...

Use transformations of the graph of \( f(x)=e^{x} \) to graph the given function. Be sure to give the equation of the asymptote. Use the graphs to determine each function's domain and range. If applicable, use a graphing utility to confirm the hand-drawn graphs. \[ h(x)=e^{x-2}+1 \] Which transformations are needed to graph the function \( h(x)=e^{x-2}+1 \) ? Choose the correct answer below. A. The graph of \( f(x)=e^{x} \) should be shifted to the right by 2 units and shift \( f(x) \) upward by 1 unit. B. The graph of \( f(x)=e^{x} \) should be shifted to the right by 2 units and shift \( f(x) \) downward by 1 unit. C. The graph of \( f(x)=e^{x} \) should be shifted to the left by 2 units and shift \( f(x) \) upward by 1 unit. D. The graph of \( \mathrm{f}(\mathrm{x})=e^{\mathrm{x}} \) should be shifted to the left by 2 units and shift \( \mathrm{f}(\mathrm{x}) \) downward by 1 unit. Graph \( h(x)=e^{x-2}+1 \) and its asymptote. Graph the asymptote as a dashed line. Use the graphing tool to graph the function. Find the equation of the asymptote for \( h(x)=e^{x-2}+1 \) using the graph. Use transformations of the graph of \( f(x)=e^{x} \) to graph the given function. Be sure to give the equation of the asymptote. Use the graphs to determine each function's domain and range. If applicable, use a graphing utility to confirm the hand-drawn graphs. \[ h(x)=e^{x-2}+1 \] D. The graph of \( f(x)=e^{x} \) should be shifted to the left by 2 units and shift \( f(x) \) downward by 1 unit. Graph \( h(x)=e^{x-2}+1 \) and its asymptote. Graph the asymptote as a dashed line. Use the graphing tool to graph the function. Find the equation of the asymptote for \( h(x)=e^{x-2}+1 \) using the graph. (Type an equation.) Observe the graph and find the domain of \( h(x)=e^{x-2}+1 \). (Type your answer in interval notation.) Observe the graph and find the range of \( h(x)=e^{x-2}+1 \). (Type your answer in interval notation.)