Analyze the mathematical equations on the blackboard and present them in a structured format.

Mathematical Equations:

• 1. Basic Quadratic Function:

  \[ y = x^2 + c \]

• 2. Modified Quadratic Functions:

  • \[ y = (x - 7)^2 \]
  • \[ y = x^2 + 5 \]
  • \[ y = x^2 - 12 \]
  • \[ y = (x + 1)^2 \]
  • \[ y = -x \]
  • \[ y = (x - 8)^2 \]

• Additional Notes/Text:

  • The text "2 лист" appears, which translates to "2 sheet" or "2 page".
  • There are also some handwritten characters that are difficult to decipher definitively, appearing between the first and second equation, possibly indicating a date or a student's annotation.
  • There are also numbered circles from 1 to 6 on the left side, likely corresponding to the equations listed.