Find the Value for the Function $( x + h ) \text { when } f ( x ) = 2 x ^ { 2 } - 2 x - 5$

question 232

Multiple Choice

Find the value for the function.
-Find f( $( x + h ) \text { when } f ( x ) = 2 x ^ { 2 } - 2 x - 5$

• A) \(2 x ^ { 2 } + 2 x h + 2 h ^ { 2 } - 2 x - 2 h - 5\)
• B) \(2 x ^ { 2 } + 4 x h + 2 h ^ { 2 } - 2 x - 2 h - 5\)
• C) \(2 x ^ { 2 } + 2 h ^ { 2 } + 2 x + 2 h - 5\)
• D) \(2 x ^ { 2 } + 2 h ^ { 2 } - 2 x - 2 h - 5\)

---

Definitions:

Quadratic Equation

A quadratic equation is a second-degree polynomial equation, typically in the form ax^2 + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Real Solutions

The set of all real numbers that satisfy an equation.

Quadratic Equation

An equation of the form ax^2 + bx + c = 0, where a, b, and c are constants, and a ≠ 0.

Square Root Property

A principle that relates the square of a number to its square root, often used to solve equations.