Which sequence of transformations is shown on the coordinate grid below?
– Reflection over the x axis and dilation scale factor of 2 centered at the origin
– Reflection over the y axis and dilation scale factor of 2 centered at the origin
– I do not know the answer yet.
– Reflection over the x axis and dilation scale factor of 1/2 centered at the origin
– Reflection over the y axis and dilation scale factor of 1/2 centered at the origin
To determine the correct sequence of transformations shown on a coordinate grid, you need to analyze the coordinates of the points before and after the transformation.
1. Reflection over the x-axis: If a point (x, y) is reflected over the x-axis, its new coordinates will be (x, -y).
2. Reflection over the y-axis: If a point (x, y) is reflected over the y-axis, its new coordinates will be (-x, y).
3. Dilation: A dilation by a scale factor of 2 centered at the origin will change the coordinates (x, y) to (2x, 2y), and a dilation by a scale factor of 1/2 will change (x, y) to (1/2 * x, 1/2 * y).
To find the correct answer, check the coordinates’ transformation applied to them and compare them to the statements given. Analyze if the y-values have been negated (indicating a reflection over the x-axis) or the x-values (indicating a reflection over the y-axis) and see if the points have been scaled up or down accordingly.
If you analyze the results and find out which transformation aligns with the changes, you can select the correct option. If you’d like additional help understanding how to perform this analysis, feel free to reach out!