Question

Write an equation for each translation of y=[x]

10.5 units left

Answer 1

The general equation for translating a function f(x) by (h,k) is
T(h,k) f(x)= f(x-h)+k
where T(h,k) is the translation operator.
For example, if f(x)=\(x^2+4x+2\), then
T(5,2) f(x)=\((x-5)^2+4(x-5)+2=x^2-6x+7\)
will translate f(x) 5 units to the right, and 2 units upwards.
The important to note is that x is replaced by (x-h) wherever x appears, and do not forget the parentheses.
By the way, [x] represents the step function as shown below, but the translation works as described above.

Answer 2

so my answer would be y = | x – 10.5 |