The graph of [tex]f(x) = -4(2)^x[/tex] can be drawn by first draw the graph of [tex]f(x)=2^x[/tex] then draw the graph of [tex]f(x) = 4(2)^x[/tex] by multiplying the y-axis by 4 aand then taking the mirror image of [tex]f(x) = 4(2)^x[/tex] in x-axis.
Given :
[tex]f(x) = -4(2)^x[/tex]
To plot the graph of the function f(x) following steps can be use:
Step 1 - First draw the graph of [tex]f(x)=2^x[/tex].
Step 2 - Now, multiply y-axis by 4. After multiplying the y-axis by 4 the graph is called the graph of [tex]f(x) = 4(2)^x[/tex].
Step 3 - Now, take the mirror image of [tex]f(x)=4(2)^x[/tex] in x-axis. After taking the mirror image in x-axis the graph is called the graph of [tex]f(x) = -4(2)^x[/tex].
The graph of [tex]f(x) = -4(2)^x[/tex] is attached below.
From the above steps it can be concluded that the correct graph is shown in option C).
For more information, refer the link given below:
https://brainly.com/question/20381610
