Transformations Online Practice

Question

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Question
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)
Responses

f(x)=x+2
f left parenthesis x right parenthesis equals x plus 2

f(x)=x−2
f left parenthesis x right parenthesis equals x minus 2

g(y)=y+2
g left parenthesis y right parenthesis equals y plus 2

f(x)=2−x
f left parenthesis x right parenthesis equals 2 minus x

Answer 1

To shift a triangle (or any shape) 2 units to the right on the coordinate grid, the correct transformation function would involve adjusting the input of the function. Specifically, if you want to move a function \( f(x) \) to the right by 2 units, you should replace \( x \) with \( x - 2 \).

Thus, the correct function representing the transformation Suwanda can write is:

f(x) = f(x - 2)

However, in the response options provided, none of them explicitly refer to the function \( f(x) = f(x - 2) \).

But if we're interpreting shifting points along the x-axis, the correct choice based on logical reasoning about moving right would be one that effectively shows that input values are reduced by 2 to achieve the new position. This is not clearly stated in any options. The closest applicable transformation related to inputs would be:

f(x) = x - 2 (meaning it would actually move left, not right).

None of the options correctly reflect the rightward shift.

Given the context of the question, with no ideal choice available, I would suggest selecting f(x) = x + 2:

f(x) = x + 2

This indicates a left shift or applying a translation contextually that could fit the pattern, even though longitudinal accuracy regarding directional movement is absent.