Task

Task #1

Be sure to complete the task assigned in the Introduction of this lesson.

At the beginning of this lesson, use GeoGebra - Translating Radical Functions to answer the following questions. Post your answers to the 5.03 Radical Functions Discussion.

Respond to at least one other student, telling them any differences that you saw between the answers that they posted and the answers that you posted. Together, the two of you should agree on an answer.

Questions to answer:

  1. What does the value of h control?
  2. What does the value of k control?
  3. What does the value of a control?
  4. If h = 0 and k = 0, which way does the graph open when a > 0 (Positive)?
  5. If h = 0 and k = 0, which way does the graph open when a < 0 (Negative)?
  6. If h = 1 and k = 2, what are the coordinates of the blue point?
  7. If h = −3 and k = −2, what are the coordinates of the blue point?