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

Multiple Choice

Find a quadratic function that models the data.
-The table lists the total precipitation in six consecutive months in one U.S. city.

Let $\mathrm{x}=0$ correspond to July and let $\mathrm{f}(\mathrm{x})$ be the total precipitation in month $\mathrm{x}$ . Using $(0,0.6)$ as the vertex and $(5,5.7)$ as the other point, determine a quadratic function $f(x) =a(x-h) ^{2}+k$ that models the data.

A) $f(x) =0.204 x^{2}+0.6$
B) $f(x) =0.142 x^{2}+0.6$
C) $f(x) =0.319 x^{2}+0.6$
D) $f(x) =0.252 x^{2}-0.6$