Question

The graph of g(x) is the result of translating the graph of f(x)=3^x six units to the right.what is the equation of g(x)?

•g(x)=3^^x-6

•g(x)=3^x^+6

•g(x)=3^x-6

•g(x)=3^x+6

Answer 1

`3^(x-6)`

I cannot make out from the answer choices which correspond to this, the formatting is all gone but this is the answer. Choose the correct option from the original question which has formatting.

See graph for visual proof

Explanation:

Translation of a graph on the x-axis by a units means moving the graph left or right by a units

When you translate a function f(x) by a units to the right, the translated function becomes f(x - a)

Original function is f(x) = 3ˣ
When you translate the graph by 6 units to the right, the translated graph is
`g(x) = f(x-6) = 3^(x-6)`