Practice Problem 2

A parabola has a vertex in the 4th Quadrant and opens upward.

Use your graph paper to sketch a graph that will model this description. Then go to your notes and write about this function answering the following questions:

1. What do you know about the coordinates of the vertex?
2. What do you know about the x-intercepts?
3. If you were looking at a table for this function, how would you know the vertex is a minimum and not a maximum?
4. How could you change the description in Practice 1 so that the parabola opens upward? If you did that, in which Quadrant would its vertex be? How would the table of values be affected?
5. Write an explanation of your understanding of how to sketch a graph, generate a table, and write an equation from the verbal description.

Practice Problem 3

Verbal description: Shari is laying out a bulletin board display and has 64” of edging to use for the perimeter. She wants to utilize as much area as possible while bordering the entire display with her edging. Write a quadratic equation expressing the area, A, in terms of the width, w, that will help Shari determine the maximum area of her display.

Interactive popup. Assistance may be required.

Possible Answer

A = w (64 − w) or

A = -w² + 64w

Practice Problem 4

Verbal description: A quadratic function has x-intercepts at (-3,0) and (-1,0) and its vertex at (-2,-1).

Generate a table for the above function that includes the y-intercept and its symmetric point. You may need to write an equation first.

Interactive popup. Assistance may be required.

Possible Answer

y = (x + 1)(x + 3) or

y = x² - 4x + 3

X	Y
-5	8
-4	3
-3	0
-2	-1
-1	0
0	3
1	8