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)

Question

Responses

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

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

f(x)=x+2

Answer 1

To shift a triangle (or any graph) 2 units to the right, you need to adjust the input of the function. Specifically, you replace \(x\) with \(x - 2\). This is because shifting to the right means you need to increase the \(x\) values to maintain the same output \(y\) values at their new positions.

The correct function that demonstrates this transformation can be written as:

\( f(x) = g(x - 2) \)

Therefore, we should look for a function that shows the transformation applied to \(x - 2\). However, from the options provided, the choice that represents a shift 2 units to the right is:

f(x) = x - 2

Therefore, the answer is \( f(x) = x - 2 \).