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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 :

The translation is vertically up and horizontally left.

Step-by-step explanation:

Given : The graph [tex]y=9(3)^{x+2}+6[/tex] is translated from the graph of [tex]y=9(3)^x[/tex].

To find : How the graph is translated ?

Solution :

The parent graph is [tex]y=9(3)^x[/tex].

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

[tex]f(x)\rightarrow f(x)+d[/tex]

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

[tex]y=9(3)^{x}+6[/tex]

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

[tex]f(x)\rightarrow f(x+c)[/tex]

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

[tex]y=9(3)^{x+2}+6[/tex]

Therefore, the translation is vertically up and horizontally left.

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