For the function f(x) = -3x² + 24x - 46

a. Express the quadratic function in standard form.

b. Label the coordinates of the vertex.

c. Find the maximum or minimum value.

d. Find the x and y-intercepts.

e. Find the domain and range.

For (a), I got: -3(x - 4)² + 2

For (b), I got: (4, 2)

For (c), I got: Maximum value of 2.

For (d), I got: x-int: 4 +/- √2/3 , y-int: -46.

For (e), I got: Domain = (-∞, ∞) , Range = (-∞, 2]

I'm not sure if these are right so can someone confirm?