g of f x

The video tutorial guides students through solving the function G(x) = -4x^2 - 3x + 2 for G(-2). The teacher emphasizes the importance of showing work and not skipping steps. The process involves substituting -2 for x, carefully following the order of operations, and solving the equation step-by-step to arrive at the final answer, G(-2) = -8.

What is the main task described in the first section of the video?

• To solve a quadratic equation

• To evaluate G(x) at x = -2

• To graph the function G(x)

• To find the derivative of G(x)

What is the correct substitution for x in the function G(x) when x = -2?

• Replace x with 2

• Replace x with 1

• Replace x with 0

• Replace x with -2

Which of the following is a common mistake to avoid during substitution?

• Not using parentheses around negative numbers

• Using a calculator for negative exponents

• Forgetting to replace x

• Replacing x with a positive number

What is the result of squaring -2 in the calculation process?

• -4

• 4

• 0

• -2

What is the final value of G(-2) as calculated in the video?

• -6

• 8

• 0

• -8