Use your notes to respond to each of the questions below about the table, explaining your thinking process completely.

  1. Using the information from the table, sketch a graph of this function and label the critical attributes:
  2. x

    y

    -5

    0

    -4

    10

    -3

    16

    -2

    18

    -1

    16

    0

    10

    1

    0

    Interactive popup. Assistance may be required.

    View A Hint

    You may check your graph by creating a scatter plot on the graphing calculator. Close Pop Up
    Interactive popup. Assistance may be required.

    Check Your Graph

    image on left: graphing calculator screen shot showing a scatter plot that is parabolic open down with the vertex in the 2nd quadrant. Image on right: graphing calculator screen shot showing a scatter plot that is parabolic open down with the vertex labeled (-2, 18)Close Pop Up
  3. Use one of the methods in the resource to write an equation for this quadratic function. If you need to review, return to the part of the resource that explains "Table to Equation." Show all your steps and explain your process.
  4. Interactive popup. Assistance may be required.

    Check Your Work.

    y = -2(x - 1)(x + 5) Close Pop Up
  5. Use some of the critical attributes and their coordinates to write a description of this quadratic function.
  6. Answers will vary. Check your description against those of your peers or with your teacher. Test it by going back to your table and the graph.