Graph the Family of Polynomials $P ( x ) = ( x + c ) ^ { 4 }$

question 135

Essay

Graph the family of polynomials $P ( x ) = ( x + c ) ^ { 4 }$ in the same viewing rectangle, using the values $c = - 2$ , $- 1$ , $0$ , $1$ , and $2$ . Explain how changing the value of $c$ affects the graph.

---

Definitions:

Sequencer File

A file or data structure used in programming PLCs (Programmable Logic Controllers) to manage a sequence of operations or instructions.

Shift Registers

Digital circuits that shift the data stored within them by one position either to the right or left when a control signal is applied.

Control Processes

Methods and procedures used to monitor, adjust, and manage the operation of systems or processes to achieve desired outcomes, emphasizing regulation and manipulation of variables.

Destination

The end point or target location to which data, signals, or physical items are directed in a system or process.