Question

The graph of f(x) was horizontally translated right by a value of h to get the function g(x) = 1.5x−h. Determine the value of h.

−2
0
1
2





help!

Answer 1

2
........................

Answer 2

Option D.

Explanation:

The given functions are

`f(x)=1.5^x`

`g(x)=1.5^(x-h)`

We need to find the value of h.

From the given graph it is clear that the value of function g(x) is 1 at x=2.

So, substitute x=2 and g(x)=1 in function
`g(x)=1.5^(x-h)`, to find the value of h.

`1=1.5^(2-h)`

It can be rewritten as

`1.5^0=1.5^(2-h)`
`[\because 1.5^0=1]`

On comparing both sides we get

`0=2-h`

`h=2`

Therefore, the correct option is D.