Question

How is the graph of y=9(3)^x+2 +6 translated from the graph of y+9(3)^x

Answer 1

if you mean 9 (3)^(x+2) + 6, it is 2 left, 6 higher.

if you mean 9 (3)^(x) + 2 + 6, it is 8 higher

Answer 2

The translation is vertically up and horizontally left.

Explanation:

Given : The graph
`y=9(3)^(x+2)+6` is translated from the graph of
`y=9(3)^x`.

To find : How the graph is translated ?

Solution :

The parent graph is
`y=9(3)^x`.

When the graph is vertical translated up by 'd' units then,

`f(x)\rightarrow f(x)+d`

So, the parent graph is vertical translated up by '6' unit

`y=9(3)^(x)+6`

When the graph is horizontal translated left by 'c' units then,

`f(x)\rightarrow f(x+c)`

So, the parent graph is horizontal translated left by '2' unit

`y=9(3)^(x+2)+6`

Therefore, the translation is vertically up and horizontally left.