Question

Does the graph of y=−3x 2 −2x+7 open upward or downward? How do you know?

a) Upward, because the coefficient of x 2 is negative.
b) Downward, because the coefficient of x 2 is negative.
c) Upward, because the coefficient of X 2 is positive.
d) Downward, because the coefficient of x 2 is positive.

Answer 1

The graph of the equation y = -3x² - 2x + 7 opens b) downward because the coefficient of x² is negative. Hence, b) is correct.

Step-by-step explanation:

The graph of the equation y = -3x² - 2x + 7 opens downward because the coefficient of x² is negative. This means that as x increases, the value of y will decrease. A negative coefficient of x² indicates a concave shape that opens downward.