Answered

Expand your horizons with the diverse and informative answers found on IDNLearn.com. Discover reliable and timely information on any topic from our network of knowledgeable professionals.

Which point is the image of point A under the translation [tex]\((x, y) \rightarrow (x+1, y-4)\)[/tex]?

A. Point B
B. Point D
C. Point E
D. Point C

Sagot :

GinnyAnsweridn
To determine which point is the image of point A under the translation [tex]\((x, y) \rightarrow (x+1, y-4)\)[/tex], let's follow these steps:

1. Identify the coordinates of point A:
- Let's assume point A is at the origin, [tex]\((0, 0)\)[/tex].

2. Apply the translation:
- The translation rule is [tex]\((x, y) \rightarrow (x+1, y-4)\)[/tex].
- Starting from point A [tex]\((0, 0)\)[/tex]:
- New [tex]\(x\)[/tex]-coordinate: [tex]\(0 + 1 = 1\)[/tex]
- New [tex]\(y\)[/tex]-coordinate: [tex]\(0 - 4 = -4\)[/tex]
- After translation, the coordinates of the new point are [tex]\((1, -4)\)[/tex].

3. Determine which given point matches the translated coordinates:
- We have the following points:
- Point B: [tex]\((1, -4)\)[/tex]
- Point D: (coordinates not provided, assume we ignore this)
- Point E: (coordinates not provided, assume we ignore this)
- Point C: (coordinates not provided, assume we ignore this)

As we compare the coordinates, we see that point B matches the coordinates [tex]\((1, -4)\)[/tex] exactly after applying the translation.

Thus, the image of point A under the translation [tex]\((x, y) \rightarrow (x+1, y-4)\)[/tex] is:

Point B.
We value your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Find clear and concise answers at IDNLearn.com. Thanks for stopping by, and come back for more dependable solutions.