The video tutorial explains how to evaluate the function G(x) = -x^2 for the input a+1. It begins by substituting a+1 into the function, then uses the FOIL method to expand (a+1)^2. The tutorial continues by combining and simplifying the terms, resulting in the expression -a^2 - 2a - 1. The video concludes by summarizing the steps taken to evaluate the function for a+1.

What is the initial function G(x) that needs to be evaluated?

• G(x) = x^2

• G(x) = -x^2

• G(x) = -x

• G(x) = x + 1

Which method is used to expand (a + 1)^2 in the video?

• Distributive Property

• FOIL Method

• Quadratic Formula

• Completing the Square

What is the result of multiplying the outer terms in the FOIL method for (a + 1)^2?

• 2a

• a^2

• 1

• a

After expanding and combining like terms, what is the expression before distributing the negative sign?

• a^2 - 2a + 1

• a^2 + 2a + 1

• -a^2 - 2a - 1

• -a^2 + 2a + 1

What is the final expression for G(a + 1) after distributing the negative sign?

• a^2 - 2a - 1

• -a^2 - 2a - 1

• -a^2 + 2a + 1

• -a^2 - 2a + 1