Given the equation y=x2−16x+89 with zeros of x=8−5i and x=8+5i, which of the following identifies the general shape of its associated graph?(1 point)
Responses
The graph touches the x-axis exactly twice.
The graph touches the x -axis exactly twice.
The graph opens downward.
The graph opens downward.
The graph lies above the x-axis.
The graph lies above the x -axis.
The vertex is to the left of the y-axis.
The graph of the equation y=x^2-16x+89 represents a parabola. Since this parabola has complex roots at x=8-5i and x=8+5i, it means that the parabola does not intersect or touch the x-axis. Therefore, the correct response is:
The graph does not touch the x-axis.