1. Graphs of Polynomials Functions
Chapter 5
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?

2. Effect of the Coefficient a
Chapter 5
Discovery 2
Effect of the Coefficient a
on a Quadratic Graph
Sketch the graphs of the given quadratic functions of the form , where
on 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

3. Effect of the Coefficient c on a
Chapter 5
Discovery 3
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