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:

Common Stock

Equity ownership in a corporation, granting voting rights and a share in profits through dividends.

Semi-Annual

Semi-Annual refers to something occurring or done twice a year, typically every six months.

Coupon Bond

A bond that pays the holder a fixed interest payment (coupon) at regular intervals until the maturity date, when the principal and final interest payment are repaid.

Yield To Maturity

The total return anticipated on a bond if the bond is held until its maturity date, taking into account its current market price, face value, interest rate, and time to maturity.