With your team, find a sequence of transformations that will transform figure C to become figure D

 Dilation of 1/2, translation 5 1/2 left and 3 down, rotation 90° clockwise about point Z

Step-by-step explanation:

Consider W = (2, 5)

                X = (6, 5)

                Y = (5, 2)

                Z = (3, 2)

It was easier to name the points for the step-by-step illustration.

Step 1: Dilation of 1/2:

Step 2: Translation 5 1/2 units left and 3 units down

Step 3: Rotate 90° clockwise about point Z

Using these three steps, you have transformed the coordinates of C into the coordinates of D.

i will take them

step-by-step explanation:

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2