Step-by-step explanation & Answer:
- Substitute all of the x values from [tex]k(x)=2x^2-4x+6[/tex]
[tex]k(-2)\\k(-2) = 2(-2)^2-4(-2) + 6\\k(-2) = 2(4)-4(-2) + 6\\k(-2) = 8+8 + 6\\k(-2) = 22[/tex]
[tex]k(2)\\k(2) = 2(2)^2-4(2) + 6\\k(2) = 2(4)-4(2) + 6\\k(2) = 8-8 + 6\\k(2) = 6[/tex]
[tex]k(-3)\\k(-3) = 2(-3)^2-4(-3) + 6\\k(-3) = 2(9)-4(-3) + 6\\k(-3) = 18+12 + 6\\k(-3) = 36[/tex]