Question

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

Answer 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.

Step-by-step 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.

`y=ax^2+bx+c`

Substitute x =0 and y =3 in the equation,

`3=a(0)^2+b(0)+c`
`c=3`

The approximate value of c is 3.

Final answer:

The approximate value of c is 3.