Which transformation will be equivalent to rotating a figure 270° counterclockwise? a) reflecting over the x-axis and the y-axis b) translating left 3 units and down 5 units c) reflecting over the y-axis and then reflecting over the line y = x d) reflecting over the y-axis and then reflecting over the line y = -x

D) Reflecting over the y-axis and then reflecting over the line y = -x

Step-by-step explanation:

When the figure is rotate clock-wise or anti clock-wise then the coordinate of figure is get changed and this new coordinate can be find on the basis of degree of rotation.

The rules of rotation is:

Thus, Option (D) is correct option.

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

6, 10

9, -13

12, -21

18, -23

step-by-step explanation:

you just add 6 to the x-coordinate and subtract 10 from the y-coordinate.