Answer:
B, D, E
Step-by-step explanation:
A. The vertex is (1, -9).
False. The vertex is at (-1, -9).
B. The graph opens upward.
True. The leading coefficient 6 is positive.
C. The graph is obtained by shifting the graph of f(x) = 6(x + 1)² up 9 units.
False. It is shifted down 9 units.
D. The graph is steeper than the graph of f(x) = x².
True. The absolute value of the leading coefficient |6| is greater than 1.
E. The graph is the same as the graph of f(x) = 6x² + 12x - 3.
f(x) = 6(x² + 2x + 1) - 9
f(x) = 6x² + 12x + 6 - 9
f(x) = 6x² + 12x - 3
True.