1.19 Shifting origin and scale

Say we have values, \(x_1, x_2, \cdot \cdot \cdot , x_n\)

  • Origin shift: Adding/Subtracting
  • \(y_1 = x_1-a \space or \space x_1+a\)
  • Scale shift: Multiplying/Division
  • \(y_1 = b \cdot x_1 \space or \space x_1/b\)
  • both: \(y_i = \frac{x_i-a}{b}\)