Question

The graph of y=4 ^x is shifted 6 units to the right. What is the equation of the new graph?

y = 4^x + 6

y = 4^ ( x-6)

y = 4^ (x+6)

Answer 1

its B

Step-by-step explanation:

Answer 2

Option B:
`y=4^((x-6))` is the equation of the new graph.

Step-by-step explanation:

Given that the equation of the graph is
`y=4^x`

We need to determine the new equation of the graph.

Equation of the graph:

Given that the graph
`y=4^x` is shifted 6 units to the right.

The new equation of the graph can be determined using the rule,

`f(x)=f(x-h)`

if the graph is shifted h units to the right.

Thus, the new equation of the graph that is shifted 6 units to the right can be written using the rule is given by

`y=4^((x-6))`

Hence, the new equation of the graph is
`y=4^((x-6))`

Therefore, Option B is the correct answer.