Question

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 1/3

B.) m is shifted to the left 3 units

C.) m is shifted to the left 5/2 units

D.) m is shifted up 1/2 units

E.) m is dilated by a factor of 2

Answer 1

Answer:  B)  left 3 units

Step-by-step explanation:

The vertex form of a quadratic function is: f(x) = a(x - h)² + k    where;

• a represents the vertical stretch
• h represents the x-coordinate of the vertex
• k represent the x-coordinate of the vertex

the change from f(x) to g(x) is:

• the a-value is multiplied by 1.5
• the h-value (x-coordinate) is -3
• the k-value is decreased by 2

This results is:

• vertical stretch by a factor of 1.5
• shift to the left 3 units      (this is option B!)
• shift down 2 units

Answer 2

Answer: The answer is B and D

Step-by-step explanation: