Question

An illustration shows a coordinate plane. The x-axis and the y-axis range from -6 to 6 in one-unit increments. Eight points are plotted on the plane. Two quadrilaterals are graphed on the plane. Four points are plotted in the first quadrant. Point A is plotted at the coordinates (3, 6), Point B is plotted at (3, 2), point C is plotted at (6, 2), and point D is plotted at (5, 6). Points A and B, points B and C, points C and D, and points D and A are connected by dotted line segments to form quadrilateral A B C D. Four unlabeled points are plotted in the second quadrant at the coordinates (-2, 6), (-2, 2), (-5, 2), and (-4, 6). The four points are connected by line segments to form a quadrilateral.
Your friend produced a reflection over the y-axis that looks like this figure. You notice a problem with the reflection. How would you suggest correcting the reflection?
A. Shift the reflected figure 1 unit up.
B. Shift the reflected figure 1 unit to the right.
C. Shift the reflected figure 1 unit to the left.
D. Shift the reflected figure 1 unit down.

Answer 1

The correct reflection across the y-axis of (3,6),(3,2),(6,2),(5,6) is (-3,6),(-3,2),(-6,2),(-5,6). Your friend's points are (-2,6),(-2,2),(-5,2),(-4,6) — each x is 1 greater than it should be. So shift the reflected figure 1 unit to the left. (Choice C)