A horizontal translation of 12 units to the right would map Figure G onto Figure H.
Based on the image, it appears that a horizontal translation of 12 units to the right would map Figure G onto Figure H. This is because the overall shape and position of the graphs are the same, but Figure H is shifted 12 units to the right compared to Figure G.
Here are the steps involved in determining the translation:
1. Identify key features of both graphs: Both graphs appear to be quadratic functions, with similar curvatures and intercepts.
2. Compare the positions of the graphs: Figure H is shifted to the right of Figure G.
3. Determine the amount of shift: By measuring the distance between corresponding points on the graphs (e.g., the vertex or the y-intercepts), we can determine that the horizontal shift is 12 units.
4. Specify the direction of the shift: Since Figure H is moved to the right compared to Figure G, the translation is considered a horizontal translation to the right.