Respuesta :
Answer:
exponential function going through point 0, 0 and ending up on the right
Step-by-step explanation:
The given parent exponential function is [tex]f(x)=2^x[/tex].
This exponential function goes through (0,1) and ending up on the right.
The transformation [tex]y=f(x)-1[/tex] shifts every point on the graph down by one unit.
Therefore the graph of [tex]y=f(x)-1[/tex] will now go through (0,0) and end up on the right.
The correct choice is C
The graph of the function (y = [tex]2^x[/tex] -1) will be drawn by using transformation by moving the graph of f(x) = [tex]2^x[/tex] in the downward direction by 1 unit.
Given :
The parent function f(x) = [tex]2^x[/tex].
The following steps can be used to draw the graph of the function (f(x)-1):
Step 1 - Write the function.
y = f(x) - 1
y = [tex]2^x[/tex] - 1
Step 2 - First draw the graph of exponential function (f(x) = [tex]2^x[/tex]).
Step 3 - Shift the graph of (f(x) = [tex]2^x[/tex]) in the downward direction (in the negative y-axis) by 1 unit. The resulting graph is the graph of (y = [tex]2^x[/tex] - 1).
Therefore, the correct option is C) exponential function going through point (0,0) and ending up on the right.
For more information, refer to the link given below:
https://brainly.com/question/24153248