The scatterplot shown below represents data for each of the years from 2006 to 2015 . The plot shows the percent of people 62 years of age and older who
were working and then retired during each of those years. If this trend continued,
which of the following best predicts the percent who retired in 2016 ?

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2

one that is bigger than 3 1/2