At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Connect with professionals ready to provide precise answers to your questions on our comprehensive Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.
Sagot :
To determine the translation described by the mapping rule [tex]\((x, y) \rightarrow (x-2, y+7)\)[/tex], we need to analyze how the coordinates of the points change:
1. Horizontal Translation ([tex]\(x-2\)[/tex]):
- The [tex]\(x\)[/tex]-coordinate is reduced by 2 units. This means that every point on the rectangle moves 2 units to the left.
2. Vertical Translation ([tex]\(y+7\)[/tex]):
- The [tex]\(y\)[/tex]-coordinate is increased by 7 units. This means that every point on the rectangle moves 7 units up.
Now, we summarize the two components of the translation:
- Moving 2 units to the left (because [tex]\(x-2\)[/tex]).
- Moving 7 units up (because [tex]\(y+7\)[/tex]).
Putting these together, the entire translation described by the rule [tex]\((x, y) \rightarrow (x-2, y+7)\)[/tex] is a translation of 2 units to the left and 7 units up.
Therefore, the correct option is:
- a translation of 2 units to the left and 7 units up.
1. Horizontal Translation ([tex]\(x-2\)[/tex]):
- The [tex]\(x\)[/tex]-coordinate is reduced by 2 units. This means that every point on the rectangle moves 2 units to the left.
2. Vertical Translation ([tex]\(y+7\)[/tex]):
- The [tex]\(y\)[/tex]-coordinate is increased by 7 units. This means that every point on the rectangle moves 7 units up.
Now, we summarize the two components of the translation:
- Moving 2 units to the left (because [tex]\(x-2\)[/tex]).
- Moving 7 units up (because [tex]\(y+7\)[/tex]).
Putting these together, the entire translation described by the rule [tex]\((x, y) \rightarrow (x-2, y+7)\)[/tex] is a translation of 2 units to the left and 7 units up.
Therefore, the correct option is:
- a translation of 2 units to the left and 7 units up.
Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.