Question

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

Answer 1

Answer :

The translation is vertically up and horizontally left.

Step-by-step 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.

Answer 2

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