4. (a) Complete the table of values for $y = x^2 - 2x + 2$ - Edexcel - GCSE Maths - Question 4 - 2021 - Paper 2

To complete the table, substitute the given values of $x$ into the equation to calculate $y$.

• For $x = -2$:
  $y = (-2)^2 - 2(-2) + 2 = 4 + 4 + 2 = 10$
• For $x = -1$:
  $y = (-1)^2 - 2(-1) + 2 = 1 + 2 + 2 = 5$
• For $x = 0$:
  $y = (0)^2 - 2(0) + 2 = 0 - 0 + 2 = 2$
• For $x = 1$:
  $y = (1)^2 - 2(1) + 2 = 1 - 2 + 2 = 1$
• For $x = 2$:
  $y = (2)^2 - 2(2) + 2 = 4 - 4 + 2 = 2$
• For $x = 3$:
  $y = (3)^2 - 2(3) + 2 = 9 - 6 + 2 = 5$
• For $x = 4$:
  $y = (4)^2 - 2(4) + 2 = 16 - 8 + 2 = 10$

The completed table is shown above.