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On your own paper, describe how the graph of y = ax² will be affected by each of the following changes. (Use the words, narrower, wider, and reflection). You may use a graphing calculator if necessary.

1. The value of a is 8.	Interactive popup. Assistance may be required. Hint Look at Section 1 and/or your notes entry for Section 1. Interactive popup. Assistance may be required. Answer The graph (or parabola) will be narrower.
2. The value of a is -1.	Interactive popup. Assistance may be required. Hint Look at Section 3 and/or your notes entry for Section 3. Interactive popup. Assistance may be required. Answer The graph (or parabola) will be reflected across the x-axis.
3. The value of a is two-sevenths 2 7 .	Interactive popup. Assistance may be required. Hint Look at Section 2 and/or your notes entry for Section 2. Interactive popup. Assistance may be required. Answer The graph (or parabola) will be wider.
4. The value of a is -one-eighth 1 8 .	Interactive popup. Assistance may be required. Hint Look at Section 2 and 3 and/or your notes entry for Section 2 and 3. Interactive popup. Assistance may be required. Answer The graph (or parabola) will be reflected across the x-axis and will be wider.
5. The value of a is -6.	Interactive popup. Assistance may be required. Hint Look at Section 2 and 3 and/or your notes entry for Section 2 and 3. Interactive popup. Assistance may be required. Answer The graph (or parabola) will be reflected across the x-axis and will be narrower.
6. Which of the functions listed below has the narrowest graph? y = seven-thirds 7 3 x², y = 3x², y = two-thirds 2 3 x², y = 2x²	Interactive popup. Assistance may be required. Hint Look at Section 1 and/or your notes entry for Section 1. Interactive popup. Assistance may be required. Answer y = 3x²
7. Which of the functions listed below has the widest graph? y = seven-thirds 7 3 x², y = 3x², y = two-thirds 2 3 x², y = 2x²	Interactive popup. Assistance may be required. Hint Look at Section 2 and/or your notes entry for Section 2. Interactive popup. Assistance may be required. Answer y = 2 3 x²