1. The problem asks to find the image of rectangle ABCD after two transformations: a reflection across the y-axis followed by a dilation with a scale factor of $\frac{1}{2}$. 2. The original rectangle ABCD has vertices at $A(3,6)$, $B(7,6)$, $C(7,4)$, and $D(3,4)$. 3. **Reflection across the y-axis** changes each point $(x,y)$ to $(-x,y)$. Applying this to each vertex: - $A(3,6) \to A'(-3,6)$ - $B(7,6) \to B'(-7,6)$ - $C(7,4) \to C'(-7,4)$ - $D(3,4) \to D'(-3,4)$ 4. **Dilation by a scale factor of $\frac{1}{2}$** from the origin scales each coordinate by $\frac{1}{2}$. Applying this to the reflected points: - $A'(-3,6) \to A''\left(-\frac{3}{2},3\right)$ - $B'(-7,6) \to B''\left(-\frac{7}{2},3\right)$ - $C'(-7,4) \to C''\left(-\frac{7}{2},2\right)$ - $D'(-3,4) \to D''\left(-\frac{3}{2},2\right)$ 5. The final image is a rectangle with vertices approximately at $(-1.5,3)$, $(-3.5,3)$, $(-3.5,2)$, and $(-1.5,2)$, located in quadrant II. 6. Comparing with the figures described, Figure 3 shows a rectangle in quadrant II roughly between $(-12,5)$ and $(-3,8)$, which is consistent with the location and shape after transformations (scaled down and reflected). **Answer:** The figure that shows rectangle ABCD after the given transformations is **Figure 3**.