quadratics- help!

[vpsparkling]

The temperature you perceive often depends on the wind speed. This phenomenon is called the wind-chill factor. The following information is collected at a temperature reading of 30°F. At 5 mi/hr, the wind chill is 27°F; at 20 mi/hr, it is 4°F; and at 40 mi/hr it is ‐5°F. Find a quadratic model for this data and locate the vertex.

Help no idea where to begin!!​

 

[wjm11]

The temperature you perceive often depends on the wind speed. This phenomenon is called the wind-chill factor. The following information is collected at a temperature reading of 30°F. At 5 mi/hr, the wind chill is 27°F; at 20 mi/hr, it is 4°F; and at 40 mi/hr it is ‐5°F. Find a quadratic model for this data and locate the vertex.

You've been given three data points: (5,27) (20,4) (40,-5) I suggest you plot these on a graph of Wind Chill Temp (y-axis) vs Wind Speed (x-axis) to see what's going on.

A quadratic can be written in the form y = ax^2 + bx + c. Your job is to find the values of a, b, and c.

Write three separate equations using the three data points. Example: using (5,27) we get

27 = a(5)^2 + b(5) + c

Once you've written all three equations, you'll have three equations and three unknowns. Solve.