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On a coordinate plane, 2 rectangles are shown. The first rectangle has points A (negative 2, negative 1), B (4, negative 1), C (4, negative 3), D (negative 2, negative 3). The second rectangle has points A prime (negative 5, 1), B prime (1, 1), C prime (1, negative 1), D prime (negative 5, negative 1).
Irina wants to tile her floor using the translation shown below. Which is the rule for this translation?

T–3, 2(x, y)
T2, –3(x, y)
T3, 2(x, y)
T–2, 3(x, y)

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Answer:

A. T -3, 2(x, y)

Step-by-step explanation:

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The rule for the given horizontal and vertical translation is (-3,2).

What is horizontal and vertical translation?

Vertical translations are outside changes that affect the output (y−) axis values and shift the function up or down. Horizontal translations are inside changes that affect the input (x−) axis values and shift the function left or right.

Let k > 0. Compared with the graph y = f(x).

The graph of y = f(x) + k is shifted k units upward.

The graph of y = f(x) - k is shifted k units downward

Let h > 0. Compared with the graph y = f(x).

The graph of y = f (x + h) is shifted h units to the left.

The graph of y = f (x - h) is shifted h units to the right.

On observing the figure given below, ABCD and A'B'C'D', we see that the rectangle ABCD has shifted 3 units to the left and 2 units upward. Thus the translation rule is (-3, 2).

Learn more about horizontal and vertical translation here

https://brainly.com/question/26187593

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