Question

On this coordinate plane, point A
is translated into point A′
. Which functions give the two translations?

(1 point)
Responses

f(x)=x−5
and g(y)=y−2
f left parenthesis x right parenthesis equals x minus 5 and g left parenthesis y right parenthesis equals y minus 2

f(x)=x+2
and g(y)=y+5
f left parenthesis x right parenthesis equals x plus 2 and g left parenthesis y right parenthesis equals y plus 5

f(x)=x+5
and g(y)=y+2
f left parenthesis x right parenthesis equals x plus 5 and g left parenthesis y right parenthesis equals y plus 2

f(x)=x+6
and g(y)=y+3

Answer 1

To determine the correct translation functions for point A to point A′, you need to know the original coordinates of point A and the new coordinates of point A′ after the translation. The functions \(f(x)\) and \(g(y)\) represent how the x-coordinate and y-coordinate are changed respectively during the translation.

For example, if point A has coordinates \((x, y)\) and after translation becomes point A′ with coordinates \((x', y')\), then the translation functions can be determined as:

\[
x' = f(x) \quad \text{and} \quad y' = g(y)
\]

You would check which pair of functions from the options matches the transformation from point A to point A′.

Please provide the coordinates of point A and point A′ or describe the translation so I can help identify which option is correct.