(a) Figure 1(c) in the text shows a graph of the equation

Chapter 2, Problem 60

(choose chapter or problem)

(a) Figure 1(c) in the text shows a graph of the equation y x2 3x 5. Use a graphing utility to reproduce the graph. [Use the same viewing rectangle that is used in Figure 1(c).] (b) Add the graph of the equation y x2 3x 5 to the picture that you obtained in part (a). (This new equation is the same as the one in part (a) except that the sign of the coefficient of x has been reversed.) Note that the x-intercepts of the two graphs appear to be negatives of one another. (c) Use the quadratic formula to determine exact expressions for the roots of the two equations x2 3x 5 0 and x2 3x 5 0. Youll find that the roots of one equation are the opposites of the roots of the other equation. [In general, the graphs of the two equations y ax2 bx c and y ax2 bx c are symmetric about the y-axis. Thus, the x-intercepts (when they exist) will always be opposites of one another.] 61. (a) Us