Question

How do you find the axis of symmetry, graph and find the maximum or minimum value of the function `y = 3x^2 - 12x - 2`?

Answer 1

Minimum value `f(2)=-14` at the lowest point `(2, -14)`
`x=2` the axis of symmetry

Explanation:

`y=3x^2-12x-2`
by completing the square method
`y=3(x^2-4x)-2`
`y=3(x^2-4x+4-4)-2`
`y=3(x-2)^2-12-2`
`y=3(x-2)^2-14`
`1/3(y+14)=(x-2)^2`

`1/3(y--14)=(x-2)^2`

graph{y=3x^2-12x-2[-5,35,-15,5]}

Have a nice day ! from the Philippines..