Answer:
The standard for would be y = -3x^2 - 24x - 46
Explanation:
To get this to standard form, start by squaring the parenthesis.
y - 2 = -3(x + 4)^2
y - 2 = -3(x^2 + 8x + 16)
Now distribute the -3
y - 2 = -3x^2 - 24x - 48
Now add the 2 to both sides
y = -3x^2 - 24x - 46