an algebraic expression to represent the new x-coordinate after a translation of two yards east given any initial x-coordinate, x. The coordinates is (3,6).

The required expression is (x+2).

Step-by-step explanation:

The given point is (3,6).

Here,

x-coordinate = 3

y-coordinate = 6

We need to find an algebraic expression to represent the new x-coordinate after a translation of two yards east.

If a point is shift 2 yard east it means the value of x-coordinate increases by 2 units. It means

where, x' is new x-coordinate and x is initial x-coordinate.

Put x=3 in the above equation.

Therefore, the new x-coordinate is 5.