Suwanda draws a triangle on the coordinate grid and shifts it 2 units to the right. What function can Suwanda write to demonstrate this transformation?(1 point)Responsesf(x)=x−2𝑓(𝑥)=𝑥−2f left parenthesis x right parenthesis equals x minus 2g(y)=y+2𝑔(𝑦)=𝑦+2g left parenthesis y right parenthesis equals y plus 2f(x)=x+2𝑓(𝑥)=𝑥+2f left parenthesis x right parenthesis equals x plus 2f(x)=2−x

Answer 1

To shift a triangle (or any shape) 2 units to the right on the coordinate grid, we need to apply a horizontal translation to the coordinates of the shape.

For a function \( f(x) \), shifting it 2 units to the right can be represented by the function \( f(x-2) \). However, looking at the provided options, the correct transformation is not explicitly listed.

Given the options you have, none correctly represent a transformation that describes shifting to the right by 2 units.

The closest function to what we want would be \( f(x) = x + 2\), but this actually represents a vertical shift upward by 2 units rather than a horizontal shift to the right.

In conclusion, the function representing a rightward shift of 2 units is \( f(x) = f(x-2) \), but since this isn't among the responses, none of the responses are correct for representing a translation 2 units to the right.