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