Question

2-3The function Rx) = x2 is graphed above. Which of the graphs below represents the function g(x) = (x + 12?32N-1- 3+w.X.

Answer 1

The original function is given as

$f(x)=x^2$

The new function is then provided as

$g(x)=(x+1)^2$

Let

$\begin{gathered} f(x)=y \\ \text{and} \\ g(x)=z \end{gathered}$

We can plot the graph of both functions as shown below:

From the diagram above, the red graph is for y and the blue graph is for z.

By comparing with the options provided in the question, Graph Y represents the function

$g(x)=(x+1)^2$

Therefore, the correct option is OPTION C.