Question

which of the following shows the figure after the transformation? (with coordinate plane and smiley face figures as images)

Explanation:

Step1: Analyze Original Figure

The original smiley is in the fourth quadrant (positive x, negative y), with a smile (curved down) and eyes.

Step2: Analyze Transformations (Assume Reflection/Translation)

We need to see which option matches the transformed figure. Let's check each:

• First option (second graph): Smiley in first quadrant (positive x, positive y), same smile (curved down) – likely a reflection over x - axis (since y - coordinate flips sign: from negative to positive). The eyes and smile shape match the original's orientation (smile down), just y - position flipped.
• Other options: Some have frowny (curved up) or wrong position. The second graph (first row after original) has the smiley in first quadrant with same smile, matching reflection over x - axis.

Answer:

The second graph (the one with the smiley in the first quadrant, positive x and positive y, with the smiling face)