228k views
18 votes
Can some one help plz

Can some one help plz-example-1
User Gdupras
by
8.2k points

1 Answer

6 votes

Given:

The parent function is


f(x)=6\left((1)/(8)\right)^x

The translated function is


f(x)=6\left((1)/(8)\right)^(x+3)-2

To find:

The correct statement from the given options.

Solution:

The translation is defined as


g(x)=f(x+a)+b

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

In the parent function we have x in the power but in the translated function we have (x+3). So, a=3>0, the graph shifts 3 units left.

In the translated function, we have b=-2<0, so the graph shifts 2 units down.

The graph of
f(x)=6\left((1)/(8)\right)^(x+3)-2 is a horizontal shift to the left 3 units and a vertical shift down 2 units from the original function
f(x)=6\left((1)/(8)\right)^x.

Therefore, the correct option is A.

User Nikita Leonov
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.