To find the answer, we need to find the coordinate of figure PQRS, but I will only find the coordinate of point P which is: P(1,-3), and the coordinates of P'(-3,1) First choice: Counterclockwise rotation about the origin by 90 degrees followed by reflection about the x-axis Counterclockwise rotation 90° means that rotate 270° clockwise, and the formulaa to find it is 270° Rotation (x,y) to (-y,x) Point P rotate 270° counterclockwise (1,-3) to (3,1) Reflection over x-axis formula is (x,y) to (x,-y) Do the same to point P (3,1) to (3,-1) which is not right because the coordinate of point P is (-3,1) not (3,-1) Just to save times Let check the last one Counterclockwise rotation about the origin by 90 degrees followed by reflection about the y-axis We already have the coordinate of rotate 90° counterclockwise which is (3,1) Then, reflection over y-axis formula is (x,y) to (-x,y), so Point P' (3,1) to(-3,1) which is right. As a result, Counterclockwise rotation about the origin by 90 degrees followed by reflection about the y-axis is your final answer. Hope it help!
In order to choose the boxplot , you can follow this step :
- Determine the start point and the end point of the boxplot, You can do this by finding the smallest and the highest number. In this case, the start point will be : 65 , The end point will be 119 - the next is found the box that cover other numbers, in this case, found the box that cover 90 to 116
