Grade 11 - Pre-Calculus
Science, Technology, Engineering, and Mathematics (STEM)
                               1st Semester, Quarter 1, SY 2021-2022
                                      PERFORMANCE TASK
                                    “Desmos Graphing Project”
Deadline of submission: October 29, 2021
INSTRUCTIONS:
      Below is a list of equations that corresponds to any of the conic sections and nondegenerate
curves.
Note: Disregard the information found inside the { }, these are simply restrictions to the domain and range of
the equations to better illustrate it in the graph.
Your task is….
  1. Divide the class into groups with 4-5 members.
  2. Examine the equations above.
  3. Determine whether the equation is a circle, parabola, hyperbola, ellipse, a point, or a line.
  4. If the equation represents a conic section, find the following:
          a. Circle
                  o Coordinates of the center and radius
          b. Parabola
                  o Coordinates of the vertex, focus and equation of the directrix
          c. Ellipse
                  o Coordinates of the center, foci, vertices
          d. Hyperbola
                  o Coordinates of the center, foci, vertices, equation of the asymptote.
  5. Go to desmos.com/calculator and encode the equations above as well as the domain and
      range restrictions. You may edit the colors to make it more presentable.
  6. Take a screenshot of the final picture and attach it in 1 PDF file along with the answer to #3
      and #4.
  7. Brightspace and GForm submission link will open next Monday, October 25.
  8. You are free to write / type and organize your answers however you want as long as it is
      comprehensive and in ONE PDF FILE.