Which of the following accurately describes what the graph of y = 5x^2 + 50x + 125 looks like, with the repeated root of x = -5?
Statement #1: The graph opens downward.
Statement #2: The graph has a vertex to the right of the x-axis.
Statement #3: The graphs touches the x-axis once.
None of the statements accurately describe what the graph of y = 5x^2 + 50x + 125 looks like with the repeated root of x = -5.
Statement #1: The graph does not open downward. The coefficient of the x^2 term is positive, so the graph opens upward.
Statement #2: The graph does not have a vertex to the right of the x-axis. The vertex of the graph is at the x-coordinate of the repeated root, which is x = -5. Since x = -5 is to the left of the x-axis, the vertex is also to the left of the x-axis.
Statement #3: The graph does not touch the x-axis once. Since the repeated root is at x = -5, the graph will only touch the x-axis at x = -5.