Question content area left

Question

Part 1
Use the graph below to enter a single translation rule.
-4
8
-4
8
x
y
PreimagePreimageImageImage


x y graph
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Question content area right
Part 1
Complete the rule that describes the translation.
left parenthesis x comma y right parenthesis right arrow nothing(x,y) → enter your response here
​(Type an ordered​ pair.)

Answer 1

To provide the correct translation rule, we first need to identify the translation from the preimage (original position of the points) to the image (new position after the translation) based on the graph you're referring to.

Here’s how to write the translation rule:

1. Identify the Translation Vector: This defines how much the point is moved in the x direction and in the y direction. For instance:

   • If the points have moved 2 units to the left and 3 units up, the translation vector would be (-2, 3).
   • If the points have moved 4 units down and 5 units to the right, the translation vector would be (5, -4).

2. Formulate the Translation Rule: The translation rule can be expressed in the form: $$(x,y)\to (x+a,y+b)$$ where (a, b) is the translation vector.

Please check the graph to identify how many units the points moved both horizontally and vertically, then input that into the equation.

For example, if the translation is 3 units to the right and 2 units down, your complete rule would be:

$$(x,y)\to (x+3,y-2)$$

Once you identify the exact translation from your graph, please substitute the values into the translation rule.