Question

Describe the end behavior of a quadratic equation with a NEGATIVE leading coefficient. Select all that apply.

A) As x→[infinity], y→−[infinity]
B) As x→−[infinity], y→−[infinity]
C) As x→[infinity], y→[infinity]
D) As x→−[infinity], y→[infinity]

Answer 1

The end behavior of a quadratic equation with a negative leading coefficient is that as x approaches negative infinity, y approaches negative infinity and as x approaches positive infinity, y approaches negative infinity.

Step-by-step explanation:

The end behavior of a quadratic equation with a NEGATIVE leading coefficient is as follows:

• As x approaches negative infinity, y approaches negative infinity. This means that the function decreases without bound as x approaches negative infinity (Option B).
• As x approaches positive infinity, y approaches negative infinity. This means that the function decreases without bound as x approaches positive infinity (Option A).

Therefore, the correct answers are option A and option B.