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.

Answer 1

Answer:

Option D.

Step-by-step 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.

Answer 2

2
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