Preparing for Standardized Tests
Sign In
We are told that the coordinate grid below shows the final image of a point that was rotated 90∘ clockwise about the origin, dilated by a scale factor of 2, and shifted 7 units right.
To determine the original coordinates of the point, let's reverse each of these steps starting with the last one. The point was shifted 7 units right, so we need to shift it horizontally 7 units left. Let's do this!
Before dilation, the point was rotated 90∘ clockwise around the origin. Hence, to find the initial position of the point, let's rotate it 90∘ counterclockwise.
We conclude that the original coordinates of the point P are (-1,-3).