Begin by graphing f(x) = 3*. Then use transformations of this graph to graph the given function. Be sure to graph and give the equation of the asymptote. Use the graph to determine the function's domain and range. If applicable, use a graphing utility to confirm your hand-drawn graphs. AY 10- 8- h(x) = 3**1 + 1 6- 4- Determine the transformations that are needed to go from f(x) = 3* to the given function. Select all that apply. 2- O A. shrink horizontally O B. shrink vertically -jo -8 4 6 10 -2 O c. reflect about the x-axis 4 O D. shift f(x) 1 unit to the left -6- O E. stretch vertically O F. shift f(x) 1 unit to the right -8- O G. shift f(x) 1 unit downward -10- O H. reflect about the y-axis O. shift f(x) 1 unit upward O J. stretch horizontally

Graph each function and make a table values.  List vertex, axis, domain and range. Compare to parent function f(x)=x2.

Use transformations to graph the following function. Determine the domain, range, horizontal asymptote, and y-intercept of the Ay 10- Q function. f(x) = 5* + 3 8- 6- Which transformation is needed to graph the function f(x) = 5* + 3? Choose the correct answer below. %3D 4- O A. The graph of y = 5^ should be shifted horizontally left by 3 units. 2- O B. The graph of y = 5* should be shifted horizontally right by 3 units. -10 -8 -6 -4 -2 8 10 O C. The graph of y = 5* should be shifted vertically down by 3 units. -2- O D. The graph of y = 5^ should be shifted vertically up by 3 units. -4- -6 Use the graphing tool to graph the function. -8- Click to -10 enlarge graph (For any answer boxes shown with the grapher, type an exact answer.) The domain of f(x) is. (Type your answer in interval notation.) The range of f(x) is |. (Type your answer in interval notation.) Determine the horizontal asymptote(s), if any, of the function f(x) = 5^ - answer box(es) to complete your choice. + 3. Select the…

Suppose the graph of f is given. Describe how the graph of each function can be obtained from the graph of f. (a) y = f(9x) - 6 shrink horizontally by a factor of, then shift right 6 units O stretch horizontally by a factor of 9, then shift down 6 units O shrink horizontally by a factor of then shift down 6 units O stretch vertically by a factor of 9, then shift up 6 units O shrink vertically by a factor of then shift up 6 units 9' (b) y = 9f (1-x) O shrink horizontally by a factor of - 11/13 O shrink horizontally by a factor of then shrink vertically by a factor of 1/1, then stretch vertically by a factor of 9 O stretch horizontally by a factor of 9, then stretch vertically by a factor of 9 1 O stretch horizontally by a factor of 9, then shrink vertically by a factor of 9 O There is no change. X