Function Transformations and Rules

What is the main focus of the problem discussed in the video?

• Identifying function rules for G(x) and H(x) based on F(x)

• Finding the derivative of a function

• Graphing linear equations

• Solving algebraic equations

What transformation occurs when G(x) is one unit higher than F(x)?

• Horizontal shift to the right

• Vertical shift up

• Vertical shift down

• Horizontal shift to the left

What does a vertical shift up affect in the function rule?

• The value of C

• The value of B

• The value of D

• The value of A

If G(2) = 6 and F(2) = 5, what is the transformation rule for G(x)?

• G(x) = F(x) + 1

• G(x) = F(x) / 2

• G(x) = F(x) * 2

• G(x) = F(x) - 1

What is the difference in input values for the same output between F(x) and H(x)?

• H(x) inputs are one unit smaller

• H(x) inputs are two units larger

• H(x) inputs are one unit larger

• H(x) inputs are the same

What is the effect of a horizontal shift to the right on the function rule?

• C is positive

• C is negative

• C is zero

• C is doubled

What does a horizontal shift to the right affect in the function rule?

• The value of B

• The value of D

• The value of A

• The value of C

What is the opposite of what you might think when considering the sign of C in a horizontal shift?

• C is positive for a right shift

• C is zero for a right shift

• C is doubled for a right shift

• C is negative for a right shift

If H(2) = 3 and F(1) = 3, what is the transformation rule for H(x)?

• H(x) = F(x) - 1

• H(x) = F(x) + 1

• H(x) = F(x - 1)

• H(x) = F(x + 1)

What should you do if you're unsure about the type of transformation?

• Use a calculator

• Guess the transformation

• Apply the points to see the transformation

• Ignore the points