Question

state the direction of opening of the following: y = -(x + 3)(x - 2)

Explanation:

Step1: Expand the quadratic function

First, expand \(y =-(x + 3)(x - 2)\) using FOIL method. \(y=-(x^{2}-2x + 3x-6)=-x^{2}-x + 6\).

Step2: Analyze the coefficient of \(x^{2}\)

For a quadratic function in the form \(y = ax^{2}+bx + c\), here \(a=-1\), \(b=-1\), \(c = 6\). Since \(a=-1<0\), the parabola opens down - ward.

Answer:

Down