Given:
[tex]y=\dfrac{2}{3}x^2+3[/tex]
This equation is in the form [tex]y=ax^2+bx+c[/tex].
To find:
The values of a, b and c.
Solution:
We have,
[tex]y=\dfrac{2}{3}x^2+3[/tex]
It can be written as
[tex]y=\dfrac{2}{3}x^2+(0)b+3[/tex]
On comparing this equation with [tex]y=ax^2+bx+c[/tex], we get
[tex]a=\dfrac{2}{3},b=0,c=3[/tex]
Therefore, the correct option is b.