How to simplify the difference quotient of a function

What is the first step in evaluating the difference quotient?

• Cancel out common terms

• Multiply the entire expression by 4

• Subtract F(X) from F(X + H)

• Find the value of the function at X + H

When substituting X + H into the function, what is the resulting expression before simplification?

• 8X + 4H^2

• 4X + 4H

• 4X^2 - 2X

• X^2 + 2X + H^2 - 2X - 2

What happens to the terms 4X^2 and 2X when simplifying the difference quotient?

• They are multiplied by H

• They are added together

• They cancel out

• They are divided by H

What is the final simplified form of the difference quotient?

• 4X^2 - 2X

• 8X + 4H^2

• 4H + 8X - 20

• 4H + 8X

Which algebraic technique is used to simplify the expression after subtracting F(X)?

• Using the quadratic formula

• Completing the square

• Distributing the negative sign

• Factoring