what transformation(s) have been applied to function f(x) to get g(x)? check all that apply. translation…

what transformation(s) have been applied to function f(x) to get g(x)? check all that apply. translation reflection dilation rotation done

what transformation(s) have been applied to function f(x) to get g(x)? check all that apply. translation reflection dilation rotation done

Answer

Brief Explanations:

  1. Translation: There is no shift horizontally or vertically as the vertex - like points of the two functions do not show any displacement in the x - or y - direction.
  2. Reflection: The parabola (f(x)) opens upwards and (g(x)) opens downwards. This indicates a reflection across the x - axis.
  3. Dilation: There is no change in the width or shape of the parabolas, so no dilation has occurred.
  4. Rotation: Rotation of a function in the coordinate - plane is not applicable here as the orientation change is due to reflection, not rotation.

Answer:

reflection