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 downward. The graph opens down

Answer 1

The equation given is a quadratic equation in the standard form \( y = ax^2 + bx + c \), where \( a = -10 \), \( b = 20 \), and \( c = 80 \).

In a quadratic equation:

• If \( a > 0 \), the graph opens upward.
• If \( a < 0 \), the graph opens downward.

Since \( a = -10 \) (which is less than 0), the graph of the given equation opens downward.

Therefore, the correct response is: The graph opens downward.