Find a Quadratic Function That Models the Data $\mathrm{x}=1$ Correspond to 1988 and Let

Find a quadratic function that models the data.
-The table shows the number of new AIDS cases among women in the U.S. in six consecutive years. Data are in thousands rounded to the nearest hundred.

Let $\mathrm{x}=1$ correspond to 1988 and let $\mathrm{f}(\mathrm{x})$ be the number of new AIDS cases (in thousands) among women in the U.S. in year $x$ . Using the point $(1,3.0)$ as the vertex and $(6,16.1)$ as the other point, determine a quadratic function $f(x) =a(x-h) ^{2}+k$ that models the data.

A) $f(x) =0.764(x-1) ^{2}-3.0$
B) $f(x) =0.824(x-1) ^{2}+3.0$
C) $f(x) =0.364(x-1) ^{2}+3.0$
D) $f(x) =0.524(x-1) ^{2}+3.0$