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 right of the x-axis
statement #3: the graph touches the x-axis once
Statement #1: The graph opens upward, not downward, since the coefficient of the x^2 term is positive (5).
Statement #2: The graph has a vertex to the left of the x-axis, not the right, since the repeated root of x = -5 indicates that the vertex is at x = -5.
Statement #3: The graph does not touch the x-axis once since it has a repeated root at x = -5, which means it only touches the x-axis once at that point but then bounces back up.
Therefore, none of the provided statements accurately describe what the graph looks like.