Question
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.
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.
Answers
GPT 3.5
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.
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.