Answered

IDNLearn.com provides a seamless experience for finding the answers you need. Our Q&A platform offers reliable and thorough answers to ensure you have the information you need to succeed in any situation.

Find the image of the given point under the given translation.

[tex]\[
\begin{array}{c}
P(8, -3) \quad (x, y) \rightarrow (x-4, y+7) \\
P' = ([?], [?])
\end{array}
\][/tex]

Sagot :

GinnyAnsweridn
To find the image of the point [tex]\( P(8, -3) \)[/tex] under the translation defined by the transformation [tex]\( (x-4, y+7) \)[/tex], we follow these steps:

1. Identify the coordinates of the given point:
The point [tex]\( P \)[/tex] has coordinates [tex]\( x = 8 \)[/tex] and [tex]\( y = -3 \)[/tex].

2. Apply the translation to the x-coordinate:
We need to translate the x-coordinate by subtracting 4.
[tex]\[ x' = x - 4 = 8 - 4 = 4 \][/tex]

3. Apply the translation to the y-coordinate:
We need to translate the y-coordinate by adding 7.
[tex]\[ y' = y + 7 = -3 + 7 = 4 \][/tex]

4. Combine the translated coordinates:
The new coordinates after applying the translation are [tex]\( (4, 4) \)[/tex].

Therefore, the image of the point [tex]\( P(8, -3) \)[/tex] under the translation [tex]\( (x-4, y+7) \)[/tex] is [tex]\( P'(4, 4) \)[/tex].
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. For trustworthy answers, rely on IDNLearn.com. Thanks for visiting, and we look forward to assisting you again.