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The coordinate grid above shows a pentagon. The pentagon is translated 1 unit to the left and 10 units down to create a new pentagon.
Which rule describes this transformation?
A) (x, y) → (x − 1, y − 10)
B) (x, y) → (x + 1, y − 10)
C) (x, y) → (x − 1, y + 10)
D) (x, y) → (x + 1, y + 10)

The coordinate grid above shows a pentagon The pentagon is translated 1 unit to the left and 10 units down to create a new pentagon Which rule describes this tr class=

Respuesta :

The pentagon is translated 1 unit to the left, so the points move to the left by 1 unit. Moving left or right changes the x value, when you move right, the x value increases, when you move left, x decreases. Since x is going left 1 unit:

So x - 1

10 units down. Moving up down or up changes the y value, when you move down, y decreases, when you move up, y increases. Since the pentagon is going down 10 units:

y - 10

Your answer is A

The rule that describes the given transformation is (x, y) → (x - 1, y - 10). It is given that the pentagon is translated by 1 unit to the left and 10 units down.

What are the transformations on the graph?

The graph is transformed into a new graph by applying certain operations like,

  • translation
  • rotation
  • reflection
  • dilation

How the given graph is translated?

It is given that a pentagon in the graph is translated as 1 unit to the left and 10 units to the down.

Here the translation is towards the negative axes.

  • Towards left means subtracting the given number of units from the x-coordinate
  • Towards down means subtracting the given number of units from the y-coordinate

So, the rule for this transformation we can write as (x, y) → (x - 1, y - 10)

Translating the points of the pentagon from the graph using this rule:

Actual coordinates                        Translated coordinates

(-1, 3)                                                 ((-1 - 1), (3 - 10)) = (-2, -7)

(1, 5)                                                  ((1 - 1), (5 - 10)) = (0, -5)

(2, 2)                                                 ((2 - 1), (2 - 10)) = (1, -8)

(4, 6)                                                 ((4 - 1), (6 - 10)) = (3, -4)

(5, 3)                                                 ((5 - 1), (3 - 10)) = (4, -7)

So, the new pentagon will be plotted in the graph with these translated coordinates.

The graph of the translated pentagon is shown below.

So, option A (x, y) → (x − 1, y − 10) describes the given transformation correctly.

Learn more about the transformation of a graph here:

https://brainly.com/question/6276997

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