Which transformation rule below translate points 5 units to the left and 2 units up? * (1 Point)

(x y) --> (x + 5, y + 2)

(x, y) --> (x - 5. y - 2)

(x, y) --> (x + 5. y - 2)

(x, y)--> (x - 5. y + 2)

Please I need help

Step-by-step explanation:

Given the coordinate (x, y), when transforming the coordinate, up and right, the value of the constant we are using must be added to the coordinate since positive x axis acts towards the right side and the positive y axis acts upwards.

Also, when transforming the coordinate down and left, the value of the constant we are using must be subtracted from the coordinate since negative x axis acts towards the left side and the negative y axis acts downwards.

According to the question, we are to translate the coordinate (x, y) 5 units to the left and 2 units up,

Translating 5 units to the left means the x coordinate will become x--> (x-5)

Translating 2 units up means the y coordinate will become x--> (x+2)

Hence the correct transformation rule will be (x, y)--> (x - 5. y + 2)

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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