Question

Please help me answer ​

Answer 1

Graph C with values below

Explanation:
To do this you substitute x with the values of x given to solve for y:
-3:

• y=
  `(1)/(2)`(-3)³-2(-3)+1
• y= (
  `(1)/(2)`×-27)+6+1
• y= -13.5+7
• y= -6.5

-2:

• y=
  `(1)/(2)`(-2)³-2(-2)+1
• y= (
  `(1)/(2)`×-8)+4+1
• y= -4+5
• y= 1

0:

• y=
  `(1)/(2)`(0)³-2(0)+1
• y = 0+0+1
• y= 1

2:

• y=
  `(1)/(2)`(2)³-2(2)+1
• y= (
  `(1)/(2)`×8)-4+1
• y= 4-4+1
• y=1

Using these values we can fill out the table and see the It must be graph C that is the correct curve.