Quadratic Functions

A quadratic function is a function that can be described by the equation $y=ax^2+bx+c$ , or $y=ax^2+bx+c$  where a, b, and c are real numbers and a ≠ 0.

• TRUE

• FALSE

What do you call the graph of a quadratic function?

• circle

• line

• parabola

• hyperbola

The table of values for any quadratic function shows that first differences in x are equal and _____ differences in y are equal.

• first

• second

• third

• fourth

Which of the following is a quadratic function?

• y = x + 1

• y = x² + 2x - 1

• y = 2^x + 3x + 2

• y = 2x² + x³ + 3x

Which of the following is not a quadratic function?

• f(x) = 2x² + 3x + 3

• y = x² - 4x - 5

• y = x(x - 6)

• f(x) = 5(3x + 3)

The given table of values is a quadratic function.

• TRUE

• FALSE

Which of the following is a graph of a quadratic function?

• 
• 
• 
• 

What are the values of a, b, and c and in the quadratic function y = x² + 3x - 10?

• a = 1, b = 3, c = 10

• a = 1, b = 3, c = -10

• a = 3, b = 3, c = 10

• a = 1, b = 0, c = -10

Which of the following table of values is an example of a quadratic function?

• A

• B

• C

• D

The length of a rectangle is (x + 8) cm and its width is (x + 1) cm. Which of the following quadratic functions represents the area of the rectangle?

• f(x) = x² + 9x + 8

• f(x) = x² + 8x + 8

• f(x) = x² + 9x + 9

• f(x) = x² + 8x + 9