Use transformations of f(x) = x² to graph the following function. g(x) = - 4(x-3)² +2 Select all the transformations that are needed to graph the given function using f(x)=x². A. Shift the graph 3 units to the left. B. Shift the graph 3 units to the right. c. Shift the graph 2 units down. D. Stretch the graph horizontally by a factor of 2. E. Reflect the graph about the y-axis. F. Shrink the graph horizontally by a factor of 2. G. Shrink the graph vertically by a factor of 4. H. Reflect the graph about the x-axis. I. Stretch the graph vertically by a factor of 4. J. Shift the graph 2 units up. Use the graphing tool to graph the function. Click to enlarge 10 -6 -4 b P Ay 10- 8- 6- 2- -2- -6 -8
Use transformations of f(x) = x² to graph the following function. g(x) = - 4(x-3)² +2 Select all the transformations that are needed to graph the given function using f(x)=x². A. Shift the graph 3 units to the left. B. Shift the graph 3 units to the right. c. Shift the graph 2 units down. D. Stretch the graph horizontally by a factor of 2. E. Reflect the graph about the y-axis. F. Shrink the graph horizontally by a factor of 2. G. Shrink the graph vertically by a factor of 4. H. Reflect the graph about the x-axis. I. Stretch the graph vertically by a factor of 4. J. Shift the graph 2 units up. Use the graphing tool to graph the function. Click to enlarge 10 -6 -4 b P Ay 10- 8- 6- 2- -2- -6 -8
Can you please help me for this exercise and write the steps for me and circle the answer so that I can understand. That I can solve other exercises like this one.
Please note that you write this question for me clearly, one by one, because it is a very difficult question.
Transcribed Image Text:Use transformations of f(x) = x² to graph the following function.
g(x) = - 4(x-3)² + 2
Select all the transformations that are needed to graph the given function using f(x) = x².
A. Shift the graph 3 units to the left.
B. Shift the graph 3 units to the right.
C. Shift the graph 2 units down.
D.
Stretch the graph horizontally by a factor of 2.
E. Reflect the graph about the y-axis.
F. Shrink the graph horizontally by a factor of 2.
G. Shrink the graph vertically by a factor of 4.
H. Reflect the graph about the x-axis.
I.
Stretch the graph vertically by a factor of 4.
Shift the graph 2 units up.
Use the graphing tool to graph the function.
Click to
enlarge
graph
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