Use the following data and graph the best-fit quadratic curve. What is a good approximation for the value of c? X y 7.5 5.2 3 2.2 2.5 5 01 D-2 2 4 B D -1 1

Given:
We get the points (-5, 7.5), (-4, 5.2), (-3, 3), (-2, 2.2), (-1, 2.5), and (1,5).
Required:
We need to graph the best fit quadratic curve and find the value of c.
Explanation:
Mark the points (-5, 7.5), (-4, 5.2), (-3, 3), (-2, 2.2), (-1, 2.5), and (1,5) and join all point by a curve,
The graph of the curve.
The curve crosses the y-axis at (0,3).
Consider the quadratic equation.
[tex]y=ax^2+bx+c[/tex]Substitute x =0 and y =3 in the equation,
[tex]3=a(0)^2+b(0)+c[/tex][tex]c=3[/tex]The approximate value of c is 3.
Final answer:
The approximate value of c is 3.