use transformations of the graph of $f(x)=e^{x}$ to graph the given function. be sure to give the equation…

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 functions domain and range. if applicable, use a graphing utility to confirm the hand - drawn graphs.\n$h(x)=e^{x + 2}-3$\nwhich transformations are needed to graph the function $h(x)=e^{x + 2}-3$? choose the correct answer below.\na. the graph of $f(x)=e^{x}$ should be shifted to the right by 2 units and shift $f(x)$ upward by 3 units.\nb. the graph of $f(x)=e^{x}$ should be shifted to the left by 2 units and shift $f(x)$ upward by 3 units.\nc. the graph of $f(x)=e^{x}$ should be shifted to the left by 2 units and shift $f(x)$ downward by 3 units.\nd. the graph of $f(x)=e^{x}$ should be shifted to the right by 2 units and shift $f(x)$ downward by 3 units.\ngraph $h(x)=e^{x + 2}-3$ and its asymptote. graph the asymptote as a dashed line. use the graphing tool to graph the function.\nfind the equation of the asymptote for $h(x)=e^{x + 2}-3$ using the graph.\n$y=-3$\n(type an equation.)\nobserve the graph and find the domain of $h(x)=e^{x + 2}-3$\n(type your answer in interval notation.)

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 functions domain and range. if applicable, use a graphing utility to confirm the hand - drawn graphs.\n$h(x)=e^{x + 2}-3$\nwhich transformations are needed to graph the function $h(x)=e^{x + 2}-3$? choose the correct answer below.\na. the graph of $f(x)=e^{x}$ should be shifted to the right by 2 units and shift $f(x)$ upward by 3 units.\nb. the graph of $f(x)=e^{x}$ should be shifted to the left by 2 units and shift $f(x)$ upward by 3 units.\nc. the graph of $f(x)=e^{x}$ should be shifted to the left by 2 units and shift $f(x)$ downward by 3 units.\nd. the graph of $f(x)=e^{x}$ should be shifted to the right by 2 units and shift $f(x)$ downward by 3 units.\ngraph $h(x)=e^{x + 2}-3$ and its asymptote. graph the asymptote as a dashed line. use the graphing tool to graph the function.\nfind the equation of the asymptote for $h(x)=e^{x + 2}-3$ using the graph.\n$y=-3$\n(type an equation.)\nobserve the graph and find the domain of $h(x)=e^{x + 2}-3$\n(type your answer in interval notation.)

Answer

Explanation:

Step1: Determine the domain of an exponential function

For any exponential function of the form (y = a\cdot e^{bx + c}+d), the domain is all real numbers. The function (h(x)=e^{x + 2}-3) is an exponential function. There is no restriction on the value of (x) for which the function (h(x)=e^{x+2}-3) is defined.

Answer:

((-\infty,\infty))