On this coordinate plane, point A is translated into point A′ . Which functions give the two translations? (1 point)

Question

Responses
f(x)=x+2 and g(y)=y+5
f(x)=x+5 and g(y)=y+2
f(x)=x−5 and g(y)=y−2
f(x)=x+6 and g(y)=y+3

Answer 1

To determine which functions give the translations from point A to point A' on the coordinate plane, we need to know the original coordinates of point A and the coordinates of point A' after the translation.

A translation typically involves shifting the x-coordinate by a certain amount (which can be represented by a function $f(x)$) and shifting the y-coordinate by a certain amount (which can be represented by a function $g(y)$).

• If $A=(x,y)$ and $A^{\prime }=(x^{\prime },y^{\prime })$, the translations can be expressed as:
  • $x^{\prime }=f(x)$
  • $y^{\prime }=g(y)$

You will need to find the differences $x^{\prime }-x$ and $y^{\prime }-y$ to determine the correct functions from the given options.

As I do not have the specific coordinates for points A and A', nobody can definitively specify which functions apply. If you provide the original and translated coordinates, I can help identify the correct functions from the options given.

Alternatively, if you see the options and can deduce from the typical translations of points or any visual representation, please pick the one that corresponds to any movement along the x-axis and y-axis you observe.

Answer 2

please choose

Answer 3

Without specific coordinates for points A and A', let's evaluate the options based on the functions provided, assuming they represent translations in the form of $f(x)$ and $g(y)$.

The four given functions represent translations of $x$ and $y$:

1. $f(x)=x+2$ and $g(y)=y+5$ (Translates right by 2 units and up by 5 units)
2. $f(x)=x+5$ and $g(y)=y+2$ (Translates right by 5 units and up by 2 units)
3. $f(x)=x-5$ and $g(y)=y-2$ (Translates left by 5 units and down by 2 units)
4. $f(x)=x+6$ and $g(y)=y+3$ (Translates right by 6 units and up by 3 units)

In terms of possible translations:

• If the translation is upward and to the right, consider either option 1 or 2.
• If the translation is downward and to the left, option 3 is the candidate.
• If the translation is both rightward and upward in significant amounts, option 4 fits that based on higher values of the shifts.

Since I cannot visually analyze the coordinates or context, I can help suggest a choice based on common movements. For example, if it appears that the translation is by a moderate amount upward and to the right, you might opt for the first option.

Please choose one based on your own observation or context. If you have any additional information about the translations or the positions of A and A', that would be very useful! If you want a default pick, I would choose option 1 ($f(x)=x+2$ and $g(y)=y+5$) as a standard example of a general translation where both coordinates increase.