Graphs of Polynomials Functions Chapter 8 Discovery 1 Graphs of Polynomials Functions Graph each polynomial relation. Draw a vertical line through more than one point on the graph if possible. Are the polynomial relations graphed in exercises 1 - 4 functions?

Effect of the Coefficient a Chapter 8 Discovery 2 Effect of the Coefficient a on a Quadratic Graph Sketch the graphs of the given quadratic functions of the form y = ax2 where the same coordinate plane. Use the decimal window. Complete the following sentences by choosing the correct words. 7. In exercises 1 - 3, a is a positive/negative number. All of the graphs open upward/downward. 8. In exercises 4 - 6, a is a positive/negative number. All of the graphs open 9. In exercises 3 and 6, the absolute value of a is greater than 1. The shape of the parabola is wider/narrower than the graphs in exercises 2 and 5, in which a = 1 or -1. 10. In exercises 1 and 4, the absolute value of a is less than 1. The shape of the parabola is wider/narrower than the graph in exercises 2 and 5, in which a = 1 or -1.

Chapter 8 Discovery 3 Symmetric Graph 1. Consider the graph of The vertex of the graph is (0, 0). Complete the table of values for the three integer x-values on either side of x = 0, the x-coordinate of the vertex. x y -3 -2 -1 0 0  Vertex 1 2 3 2. Graph the function, using the table of values. Label all points graphed. Compare the y-values for the x-values equidistant from x = 0. 3. If x = 1 or x = -1, then y = _____. 4. If x = 2 or x = -2, then y = _____. 5. If x = 3 or x = -3, then y = _____.

Effect of the Coefficient c on a Chapter 8 Discovery 4 Effect of the Coefficient c on a Quadratic Graph Sketch the graph of the given quadratic functions of the form where b = 0, on the same coordinate plane. Use the decimal window and label the y-intercept of each graph. 1. Write a rule for determining the y-coordinate of the the y-intercept of a parabola from its equation. 2. Check your rule for