Given the equation y=−10x2+20x+80 with solutions of x=−2 and x=4 , which of the following identifies the general shape of its associated graph?(1 point)
Responses
The graph opens upward.
The graph opens upward.
The vertex is to the left of the y-axis.
The vertex is to the left of the y -axis.
The graph opens downward.
The graph opens downward.
The graph touches the x-axis exactly one time.
The correct response is:
The graph opens upward.
The graph opens upward because the coefficient of the leading term, -10, is negative. This means that the parabola opens upward. If the coefficient were positive, the parabola would open downward.