y = 3x^2 + 24x + 20
complete the square
y = 3(x^2 +8x + 64) + 20 +(3*64) remember the factor of 3 when we completed the square.
y = 3(x + 8)^2 + 212
The axis of symetry is x = 8.
The vertex is (8, 212)
There are no x-intercepts because the parabola goes upward.
The y-intercept is (0, 212).