Given the parent function f(x) = 2x, which graph shows f(x) − 1?

exponential function going through point 0, 2 and ending up on the right

exponential function going through point 0, 0 and ending down on the right

exponential function going through point 0, 0 and ending up on the right

exponential function going through point 0, 1.5 and ending up on the right

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

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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

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