Question

Identify the transformations, in order: -3 f(x) + 1

1) Vertically stretch factor 3
2) Vertically reflect
3) Translate 1 unit up

Answer 1

The question identifies a series of transformations applied to a function. These include a vertical stretch by a factor of 3, a reflection across the x-axis, and a translation of 1 unit upward.

Step-by-step explanation:

The student asks about identifying the transformations applied to the function f(x) in a given order. The transformations are:

1. Vertical stretch by a factor of 3, which means each y value of the function is multiplied by 3 resulting in a stretching away from the horizontal axis.
2. Vertical reflection, which flips the graph across the x-axis, effectively turning every point (x, y) into (x, -y).
3. Translation 1 unit up, which moves the entire graph vertically upward in the coordinate system by adding 1 to every y value of the function.

Together, the function -3 f(x) + 11 would undergo these transformations in the specified order to achieve the final result.