Given the equation y = 3x^2
- 24x + 48 with solutions of x = 4 and a = 4, which of the following identifies the
general shape of its associated graph? (1 point)
O The entire graph lies above the x-axis.
O The vertex is to the left of the y-axis.
O The graph opens upward.
O The graph opens downward.
The correct answer is "The graph opens upward."
To determine the general shape of the graph, we can look at the coefficient of the x^2 term. In this equation, the coefficient is positive (3), which means the graph opens upward.