Which of the following accurately describes what the graph of y = 5x^2 + 50x + 125 looks like, with the repeated root of x = -5? Pick the one correct answer.
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.
The correct answer is:
Statement #1: The graph opens downward.
This is because the coefficient of the x^2 term is positive (5), indicating that the parabola opens upwards. Since the root x = -5 is repeated, it means that the vertex of the parabola is located exactly at x = -5. Therefore, statement #2 is incorrect. Additionally, since the parabola opens upwards and the vertex is located above the x-axis, statement #3 is also incorrect as the parabola does not touch the x-axis.