The Minimum Yearly Temperature in a Certain Temperate Climate Was $(0,38.8),(2,47.3)$

Essay

The minimum yearly temperature in a certain temperate climate was recorded each year for five years beginning
in 2000. The minimum temperature increased for the first few years before declining. The table shows the temperature, in degrees Fahrenheit, for those years, with 2000 represented by year 0, 2001 by year 1, and so on. Use the data points $(0,38.8),(2,47.3)$ , and $(4,39)$ to find a quadratic function defined by $f(x)=a x^{2}+b x+c$ that models the data. Graph $f$ together with the data.