Evaluating Quadratic Functions

The video tutorial explains how to evaluate a quadratic function using function notation. It covers substituting different values into the function f(x) = 3x^2 + 8x - 2, including specific numbers and expressions. The tutorial demonstrates step-by-step calculations for f(0), f(2), f(-2), f(x+1), and f(-x), emphasizing the importance of following the order of operations and correctly substituting values.

What is the general form of the function given in the video?

• f(x) = 3x^2 + 8x - 2

• f(x) = 2x^2 + 3x - 8

• f(x) = 8x^2 + 3x - 2

• f(x) = 3x^2 - 8x + 2

What is the value of f(0) for the function f(x) = 3x^2 + 8x - 2?

• 0

• -2

• 8

• 2

Which step is performed first when calculating f(0)?

• Multiplication

• Addition

• Subtraction

• Exponentiation

What is the value of f(2) for the function f(x) = 3x^2 + 8x - 2?

• 16

• 28

• 12

• 26

What is the result of 3 times 4 in the calculation of f(2)?

• 8

• 12

• 16

• 20

What is the value of f(-2) for the function f(x) = 3x^2 + 8x - 2?

• -6

• 6

• 4

• -4

What is the result of 8 times -2 in the calculation of f(-2)?

• -8

• 8

• 16

• -16

What is the expression for f(x+1) in the function f(x) = 3x^2 + 8x - 2?

• 3(x+1)^2 + 8(x+1) - 2

• 3x^2 + 8x + 1

• 3x^2 + 8x - 1

• 3(x+1)^2 - 8(x+1) + 2

What is the expression for f(-x) in the function f(x) = 3x^2 + 8x - 2?

• 3x^2 + 8x + 2

• 3x^2 - 8x - 2

• -3x^2 + 8x - 2

• 3x^2 + 8x - 2

What is the result of squaring -x in the expression for f(-x)?

• -2x^2

• x^2

• 2x^2

• -x^2