What image is the translation of the shown triangle given by the translation rule (x, y) (x-3, y +3)

The figure is translated 3 units left and 3 units up. This can be seen in option C

Transformation is the movement of a point from its initial location to a new location.

Types  of transformation is reflection, rotation, translation and dilation.

Translation is the movement of a point up, down, left or right. If a point A(x, y) is moved a units left and b units up, the new point is at A'(x - a, y + b).

The translation rule (x,y) (x-3, y +3) means that the figure is translated 3 units left and 3 units up.

This can be seen in option C. Hence option C is the correct option.

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Answer : Image shown in graph C is the right image formed by translation rule (x,y) → (x-3, y +3).

Given:  A triangle which is translated by applying translation rule

(x,y) → (x-3, y +3).

As by rule x abscissa is decreased by 3 therefore the image will shift leftwards[horizontal shift by 3 units] and y ordinate is increased by 3 which implies the image will shift upwards[vertical shift by 3 units]→ which is shown in the graph C .

Therefore,Image shown in graph C is the right image formed by translation rule (x,y) → (x-3, y +3).

i think it is c hope that

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus