The point (2,1) is rotated 90 degrees clockwise using center (0,0). What are the coodinates of the image?

(1,-2)

Step-by-step explanation:

Rotation of Figures

When we rotate a figure 90 degrees clockwise across the origin, each point of the given figure has to be changed from (x, y) to (y, -x).

We are given the point (2,1) and it is rotated 90 degrees clockwise across the origin, thus the image has coordinates (1,-2).

The figure below shows the point and its image.

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

the difference between a number and 5 is -2.

step-by-step explanation:

notice that the equation you are given has -2 (negative 2) on the right side, not 2. when you subtract 5 from a number n, you are finding the difference between the number and 5.

the difference between a number and 5 is -2.