What are the coordinates of the vertex of the graph of the function y = –3x² –12x + 3? (1 point) Responses (–2, 29) (–2, 29) (2, –15) (2, –15) (2, –9) (2, –9) (–2, 15)
To find the coordinates of the vertex of the graph of the function y = –3x² –12x + 3, we can use the formula x = -b/2a, where a and b are the coefficients of the quadratic term and the linear term, respectively.
In this case, a = -3 and b = -12.
Using the formula, x = -(-12)/(2*(-3)) = 12/(-6) = -2.
To find the y-coordinate, we substitute x = -2 into the equation y = –3x² –12x + 3:
y = –3(-2)² –12(-2) + 3
= –3(4) + 24 + 3
= –12 + 24 + 3
= 15.
Therefore, the coordinates of the vertex of the graph are (-2, 15).