(5 Points) Below is a graph of a function f(x). Use transformations and translations to sketch...
please show work. DETAILS Use the given graph of f(x) and transformations to sketch the graph of the following function. Be sure to show the transformations you used, and the order in which you used them. y=-2/x + 4) - 2 yfox)
Use the graph of y=e* and transformations to sketch the exponential function f(x) = new Determine the domain and range. Also, determine the y-intercept, and find the equation of the horizontal asymptote. Use the coordinates of the three points of the graph of y=e* to determine the corresponding points that lie on the graph of f(x) = -ex+6 Points that lie on the graph of y=e Points that lie on the graph of y=e* (-2,5) (0,1) (1,) Corresponding points that...
Begin by graphing the absolute value function, f(x)= |x|. Then use transformations of this graph to graph the given function. g(x)-3 x-2| +4 What transformations are needed order to obtain the graph of g(x) from the graph of f(x)? Select all that apply. A. Vertical shift B. Reflection about the y-axis C. Vertical stretch/shrink D. Horizontal shift E. Reflection about the x-axis F. Horizontal stretch/shrink Choose the correct graph below. O C. O D. O A. ОВ. A V 40...
i) In the space below, give a rough sketch of the graph of the function y = tan-'(x). ii) By looking at the graph you just drew, what y value does the function y = tan-(x) approach as x gets larger and larger (in the positive direction)? Explain your reasoning. An answer without an explanation will be granted no points.
2.5.63-Setup & Solve Use transformations of f(x) = x? to graph the following function. g(x) = 4(x + 5)2 +4 Select all the transformations that are needed to graph the given function using f(x) = x? A. Shift the graph 5 units to the right. B. Reflect the graph about the x-axis. C. Reflect the graph about the y-axis. D. Shift the graph 5 units to the left. E. Stretch the graph horizontally by a factor of 4. F. Shrink...
The function f(x) is given by the graph below: (a) Write a piece-wise formula for f(x): (b) Determine if each of the following graphs are simple (single shifts, scalings, or reflections) transformations of f(x). If it is, write a formula for the graph in terms of f. Otherwise, explain why it is not The function f(x) is given by the graph below: (a) Write a piece-wise formula for f(x): (b) Determine if each of the following graphs are simple (single...
Let f(x) = - *-5 + 7. Graph f(x) using transformations. (a) Identify the transformations used to graph f(x). Select all that apply. shifted left 5 units shifted down 7 units shifted down 6 units reflected over the y-axis shifted up 7 units shifted right 5 units horizontally compressed horizontally stretched vertically stretched vertically compressed shifted up 6 units shifted left 7 units reflected over the c-axis shifted right 7 units (b) Identify the important point of f(x). (c) Identify...
Sketch the graph of y=f'(x) 13. Below you are given the graph of the function y(x). Use the graph to answer the questions that follow. y- . O-
4. Consider the graph of the function f shown below. Use this graph to sketch the graphs of the following functions. To print an enlarged copy of the graph, go to the website www.mathgraphs.com (a) f(x) (c) 2f(x) 4 (d) fx) (f) f(x) (e) -f() (g) f(x) 2 4 -2 -4
Begin by graphing the standard quadratic function f(x)=x? Then use transformations of this graph to graph the given function 06) -36+43 3 OD. . OA OB 10 10 101 10 10 -101