Question

The graph of g(x)=x^3-x is shown. Which is the graph of .5g(x-2)+1?

Answer 1

Answer:

We have the function, $g(x)=x^{3}-x$.

It can be seen that various transformations are applied to the function g(x) in order to obtain the new function.

As the new function is $0.5g(x-2)+1$ i.e. $\frac{1}{2}g(x-2)+1$

We get that,

The function g(x) is translated to the right by 2 units, then g(x) ⇒ g(x-2).

Further, g(x-2) is shrinked vertically by $\frac{1}{2}$, which gives g(x-2) becomes $\frac{1}{2}g(x-2)$.

Finally, the function $\frac{1}{2}g(x-2)$ is translated 1 unit upwards, then $\frac{1}{2}g(x-2)$ ⇒ $\frac{1}{2}g(x-2)+1$

Hence, the graph of the new function is given below.

Answer 2

Answer:

The answer for edgen is graph choice B

Step-by-step explanation: