Question
On this coordinate plane, point A is translated into point A'. Which functions give the two translations?
(1 point)
O fla） =a-5and gly） =y-2
〇 f（2） =n+6and g（9） =9+3
• f(x) = x + 5 and g(y) = y + 2
0fla） 〒2-2and gy）=9+
(1 point)
O fla） =a-5and gly） =y-2
〇 f（2） =n+6and g（9） =9+3
• f(x) = x + 5 and g(y) = y + 2
0fla） 〒2-2and gy）=9+
Answers
GPT-4o mini
To determine which functions correctly represent the translations of point A to point A', we need to analyze how the coordinates of point A are changed to get to point A'.
Assuming point A has coordinates (x, y) and point A' has coordinates (x', y'), the translations can be expressed in the form of functions:
- The function for the x-coordinate can be represented as \( f(x) = x + a \) where \( a \) is the amount translated in the x-direction.
- The function for the y-coordinate can be represented as \( g(y) = y + b \) where \( b \) is the amount translated in the y-direction.
From the given options, you want to identify which pair of functions accurately translates point A into point A'.
Let’s go through the provided options:
1. \( f(x) = x - 5 \) and \( g(y) = y - 2 \) (indicates a translation left by 5 and down by 2)
2. \( f(2) = n + 6 \) and \( g(9) = 9 + 3 \) (this is not in the correct form)
3. \( f(x) = x + 5 \) and \( g(y) = y + 2 \) (indicates a translation right by 5 and up by 2)
4. \( f(x) = x - 2 \) and \( g(y) = y + 4 \) (indicates a translation left by 2 and up by 4)
To choose the correct functions, it is essential to know the specific translations from point A to A'. Without that information, it is impossible to accurately determine which functions correspond to the translation.
If you have specific coordinates for points A and A', please provide them, and I'll help you identify the correct translation functions!
Assuming point A has coordinates (x, y) and point A' has coordinates (x', y'), the translations can be expressed in the form of functions:
- The function for the x-coordinate can be represented as \( f(x) = x + a \) where \( a \) is the amount translated in the x-direction.
- The function for the y-coordinate can be represented as \( g(y) = y + b \) where \( b \) is the amount translated in the y-direction.
From the given options, you want to identify which pair of functions accurately translates point A into point A'.
Let’s go through the provided options:
1. \( f(x) = x - 5 \) and \( g(y) = y - 2 \) (indicates a translation left by 5 and down by 2)
2. \( f(2) = n + 6 \) and \( g(9) = 9 + 3 \) (this is not in the correct form)
3. \( f(x) = x + 5 \) and \( g(y) = y + 2 \) (indicates a translation right by 5 and up by 2)
4. \( f(x) = x - 2 \) and \( g(y) = y + 4 \) (indicates a translation left by 2 and up by 4)
To choose the correct functions, it is essential to know the specific translations from point A to A'. Without that information, it is impossible to accurately determine which functions correspond to the translation.
If you have specific coordinates for points A and A', please provide them, and I'll help you identify the correct translation functions!