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)
1. The vertex is to the left of the y-axis
2. The graph touches the x-axis exactly twice.
3. The graph opens downward
4. The graph lies above the x-axis
The correct answer is:
3. The graph opens downward.
The equation is in the form of a quadratic equation, y = ax^2 + bx + c, where a is positive. When a is positive, like in this case, the graph opens upward. When a is negative, the graph opens downward.