What happens to the graph of y = ax2 + c when the value of c is less than 0? Observe the graphs below.

Click on the link below to access an online graphing calculator. Then follow the directions below to complete the exercise.

This activity might not be viewable on your mobile device.Interactive exercise. Assistance may be required. Online Graphing Calculator

At any time you may click on "Show Tabular Data" to see a table of values.

  1. Enter x2 in the y(x) field and then click on Plot/Update to graph the equation.
  2. Go the next line in the y(x) field and enter x ^ 2 – 2. Then click on Plot/Update.
  3. Go to the 3rd line in the y(x) field and enter x ^ 2 – 4. Then click on Plot/Update.
  4. Go to the 4th line in the y(x) field and enter x ^ 2 – 7. Then click on Plot/Update.
  5. In your notes, describe how changing the value of c from "0" to a number less than 0 affects the graph. (Use the words vertex and up or down.)

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Check Your Answer

When the value of c is less than 0, all points on the graph are shifted down c units.

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