Regents Exam: Algebra I August 2016 (Problem 26 of 37)

The video tutorial explains how to transform the graph of a function B(x) to a new function H(x) using the equation H(x) = B(x - 2) - 3. It describes the process of analyzing the transformation by understanding how functions can be shifted or flipped. The tutorial concludes that the graph of B(x) is shifted 2 units to the right and 3 units down to form H(x).

What is the main task described in the problem regarding the graph of B(x)?

• To find the maximum value of B(x).

• To integrate B(x) over a specific interval.

• To transform B(x) into H(x) using a given equation.

• To calculate the derivative of B(x).

Which of the following is a method to translate a function up or down?

• Multiplying the variable inside the argument by -1.

• Adding or subtracting a constant outside the function.

• Multiplying the function by -1.

• Adding or subtracting a constant inside the argument.

How can a function be flipped across the X-axis?

• By multiplying the function by -1.

• By adding a constant to the function.

• By subtracting a constant from the argument.

• By multiplying the variable inside the argument by -1.

What transformation is applied when 2 is subtracted inside the argument of B(x)?

• A shift of 2 units upward.

• A shift of 2 units to the right.

• A shift of 2 units to the left.

• A shift of 2 units downward.

What does subtracting 3 from the original function B(x) result in?

• A shift of 3 units upward.

• A shift of 3 units to the left.

• A shift of 3 units downward.

• A shift of 3 units to the right.