Question

Which of the following shows the figure rotated 90 degrees counterclockwise around the origin and then reflected across the x axis?

Answer 1

Answer: the first one

Answer 2

First figure

Explanation:

From given graph we can see that the point (3,0) and (3,1) lie on the given graph.

90 degree rotation counterclockwise around origin:The point (x,y) is rotated 90 degree counterclockwise about origin then the point changed by the rule

`(x,y)\rightarrow(-y,x)`

When the point (x,y) is reflected across x- axis then point is transformed by the rule

`(x,y)\rightarrow (x,-y)`

Point (3,0) is rotates 90 degree counter clockwise about origin then the point will be (0,3) after rotation.

When the point (0,3) is reflected across x- axis then the point becomes

(0,-3).

The point (3,1) becomes (-1,3) after 90 degree counterclockwise rotation.

After reflection across x- axis, the point becomes (-1,-3)

(0,-3) and (-1,-3) lie in the firs figure.

Hence, it is true.