Quadratic Functions P1

It is a second-degree function of the form f(x) = ax² + bx + c, where a, b, and c are real numbers and a ≠ 0.

• Quadratic Equations

• Quadratic Inequalities

• Quadratic Functions

• Quadratic Formula

Which of the following equations represents a quadratic function?

• y = 3 + 2x²

• 2y² + 3 = x

• y = 3x - 2²

• y = 2^x – 3

It is the standard form for quadratic function

• f(x) = - a (x - h)² + k

• f(x) = a (x - h)² + k

• f(x) = - a (x + h)² + k

• f(x) = - a (x - h)² - k

It is the general form for quadratic functions.

• f(x) = ax² + bx + c

• f(x) = ax² + b + c

• f(x) = ax³ + x + c

• f(x) = ax + bx + c

Using quadratic function in form y = ax² + bx + c, which of the following are the values of a, b, and c of the function y = x² - 3x - 7?

• a = 1, b = 3, c = -7

• a = 1, b = -3, c = -7

• a = 1, b = 3, c = 7

• a = 1, b = -3, c = 7

The quadratic function f(x) = x² - 4x - 10 is expressed in standard form as

• f(x) = (x - 2)² + 14

• f(x) = (x + 2)² + 14

• f(x) = (x - 2)² - 14

• f(x) = (x + 2)² – 14

Express y = x² – 2x – 3 in its equivalent standard form.

• y = (x + 1)² – 4

• y = (x - 1)² + 4

• y = (x - 1)² - 4

• y = (x + 1)² + 4

The standard form of the function y = x² - 4x + 11 is?

• y = -1 (x – 2)² - 7

• y = 1 (x – 2)² – 7

• y = -1 (x + 2)² + 7

• y = 1 (x - 2)² + 7

What is the general form of f(x) = 2(x – 1)² - 1?

• f(x) = 2x² - 4x – 1

• f(x) = 2x² + 4x – 1

• f(x) = 2x² - 4x + 1

• f(x) = 2x² + 4x + 1

The form y = 3(x - 2)² + 4 can be written in the general form y = ax² + bx + c.

• y = 3x² + 12x + 16

• y = 3x² – 12x - 16

• y = 3x² + 12x - 16

• y = 3x² – 12x + 16