Answer: [tex]y = 1.87x^2 -5.16 x + 10.54[/tex]
Step-by-step explanation:
Since the general quadratic equation is,
[tex]y = ax^2 + bx+c[/tex]
Here the given table is,
x 1 2 3 4 5 6 7
y 5.9 8.9 13.4 20.1 30.1 45.1 67.7
By the graphing calculator,
a = 1.87024 ≈ 1.87
b= -5.15833 ≈ -5.15
c = 10.5429 ≈ 10.54
By putting the values of a, b and c,
The required quadratic equation is,
[tex]1.87 x^2 -5.15x + 10.54[/tex]
⇒ First Option is correct.
