Question

What function equation is represented by the graph?


f(x)=−2x−3

f(x)=−2x−2

f(x)=2x−3

f(x)=2x−2

Answer 1

Answer:

$f(x)=2^x - 3$

Step-by-step explanation:

The choices are all exponentials, the x is raised to a power.

First of all, an exponential in the form:

$f(x)=a^x$

Where (a > 1)

Would have this shape and it will go through (0,1)

Now, looking at the graph, we see that it is translated 3 units down from (0,1).

The basic graph is $f(x)=2^x$ and the translated one would be:

$f(x)=2^x - 3$

NOTE:

Basically is this is vertically translated a units down, the equation becomes:

$f(x)=2^x-a$

and if translated a units up, the equation would be:

$f(x)=2^x+a$