Respuesta :

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.

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