Question

Write an algebraic expression to represent the new x-coordinate after a translation of two yards east given any initial x-coordinate, x.

Answer 1

A translation of two yards east involves moving 2 units in the positive x-direction. Given any initial x-coordinate, x, the algebraic expression that represents the new x-coordinate after the translation is x + 2.

Step-by-step explanation:

Edementum answer.

Answer 2

Answer: x' = x - 2yd.

Explanation:

When we have a function:

y = g(x)

A translation to the east (in this case the positive x-axis) of N units.

is written as:

y = h(x) = g(x - N)

then if in the beginning our variable was x, afther the translation the variable will be x - N.

Now in this case we have a translation of 2yd to the right (to the east)

Then our new variable, let's call it x', will be:

x' = x - 2yd.