Question

Player 2 must have the roots at x=5 and x=-3. It must also be reflected over the x-axis. And be narrower than player 1.

A) True
B) False
C) Cannot be determined with the given information
D) Partially true

Answer 1

The question cannot be fully answered as true or false because, while the roots and reflection over the x-axis can be confirmed, the comparative width cannot be determined without information on Player 1's quadratic.

Step-by-step explanation:

The student's question involves creating a quadratic equation for Player 2 with specific characteristics, which include having roots at x=5 and x=-3, reflecting over the x-axis, and being narrower than Player 1's quadratic. To achieve this, the quadratic would take the form of f(x) = a(x - 5)(x + 3), where a is a negative number to ensure reflection over the x-axis, and |a| is greater than 1 to make it narrower. Without specific information about Player 1's quadratic, we cannot determine if the given equation is narrower, hence the statement cannot be wholly true or false. The part about reflection over the x-axis and roots can be determined to be true based on the equation, but the comparison about being narrower is incomplete without additional information.