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 !

Option D.

Step-by-step explanation:

The given functions are

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 , to find the value of h.

It can be rewritten as

On comparing both sides we get

Therefore, the correct option is D.

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.