Answer:
a.) y = 2
b.) y = -2
c.) y = -2
d.) y = a³ - 3a² + 2
e.) y = 8x³ - 12x² + 2
Step-by-step explanation:
a.) x = 0
[tex]y = x^3- 3x^2 + 2\\y = (0)^3- 3(0)^2 + 2\\y = 0- 0 + 2\\y = 2[/tex]
b.) x = 2
[tex]y = x^3- 3x^2 + 2\\y = (2)^3- 3(2)^2 + 2\\y = 8 - 12 + 2\\y = -2[/tex]
c.) x = -1
[tex]y = x^3- 3x^2 + 2\\y = (-1)^3- 3(-1)^2 + 2\\y = -1 - 3 + 2\\y = -2[/tex]
d.) x = a
[tex]y = x^3- 3x^2 + 2\\y = (a)^3- 3(a)^2 + 2\\y = a^3 - 3a^2 + 2[/tex]
e.) x = 2x
[tex]y = x^3- 3x^2 + 2\\y = (2x)^3- 3(2x)^2 + 2\\y = (8)x^3- 3(4)x^2 + 2\\y = 8x^3 - 12x^2 + 2[/tex]
