Find a Quadratic Function That Models the Data $\mathrm{x}=0$ Correspond to 1970 and Let

Multiple Choice

Find a quadratic function that models the data.
-The table shows the population of a city in selected years. Data are in thousands rounded to the nearest hundred.

Let $\mathrm{x}=0$ correspond to 1970 and let $\mathrm{f}(\mathrm{x})$ be the population of the city (in thousands) in year $\mathrm{x}$ . Using the point $(0,77.9)$ as the vertex and and the data from 1995, determine a quadratic function $f(x) =a(x-h) ^{2}+k$ that models the data.

A) $f(x) =1.58 x^{2}+77.9$
B) $f(x) =0.079 x^{2}+77.9$
C) $f(x) =0.0632 x^{2}+77.9$
D) $f(x) =0.31248 x^{2}-77.9$