Question

When equation represents the function f(x)=(1.6)x after it has been translated 5 units up 9 units to the right?

Answer 1

Answer:

$g(x)=(1.6)^{x-9}+5$

Step-by-step explanation:

Given: $f(x)=(1.6)^x$

The given function is $f(x)=(1.6)^x$.

It is exponential function because x as power of 1.6.

For left / right shift : change in x value

• For right $x\rightarrow x-a$
• For left $x\rightarrow x+a$

For up / down shift : change in f(x)

• For up $f(x)\rightarrow f(x)+a$
• For down $f(x)\rightarrow f(x)-a$

$f(x)=(1.6)^x$

Shift up 5 units

$g(x)=f(x)+5$

Shift 9 unit right

$g(x)=f(x-9)+5$

$g(x)=1.6^{x-9}+5$

Hence, The new function will be $g(x)=(1.6)^{x-9}+5$

Answer 2

For this question my answer would be

g(x)=(1.6)x-9+5

Hope this Helps