Question

What do both of these functions have in common? f(x)=5e^x+5 g(x)=0.5(x-5)^2-5

Answer 1

Answer:

Both have a vertical shift of 5 units but in different directions.  

Both functions are non-linear.

Step-by-step explanation:

Given : Functions $f(x)=5e^x+5$ and $g(x)=0.5(x-5)^2-5$

To find : What do both of these functions have in common?

Solution :

Functions $f(x)=5e^x+5$ and $g(x)=0.5(x-5)^2-5$ both are different functions .

The common in these functions is

Both have a vertical shift of 5 units but in different directions.  

Vertical shift is $f(x)\rightarrow f(x)\pm b$

If there is +b then vertically upward

If there is -b then vertically downward.

and both functions are non-linear.

Answer 2

Answer:

They have the same vertical shift. -Apex

Step-by-step explanation: