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To find the value of the function y = -3x^2 - 21 when x = 4, you'll just need to substitute the value of x into the equation and then solve for y.
The equation is:
y = -3x^2 - 21
Substitute x = 4 into the equation:
y = -3(4)^2 - 21
y = -3(16) - 21
y = -48 - 21
y = -69
So, the value of the function when x = 4 is y = -69.