Line m is represented by the function f(x) = 1/3x +5/2. After transformation, the image, line m’, is represented by the functions g(x) = 1/2 f(x+3) + 1/2. Which statements below describe the transformation from m to m’? Select all that apply. A.) m is dilated by a scale factor of 1/3B.) m is shifted to the left 3 unitsC.) m is shifted to the left 5/2 unitsD.) m is shifted up 1/2 unitsE.) m is dilated by a factor of 2

Answer:  B)  left 3 unitsStep-by-step explanation:The vertex form of a quadratic function is: f(x) = a(x - h)² + k    where;a represents the vertical stretchh represents the x-coordinate of the vertexk represent the x-coordinate of the vertexthe change from f(x) to g(x) is:the a-value is multiplied by 1.5the h-value (x-coordinate) is -3the k-value is decreased by 2This results is:vertical stretch by a factor of 1.5shift to the left 3 units      (this is option B!)shift down 2 units