Is the relation a function? why or why not? {(–8, –4), (–2, 0), (1, 3), (–2, 6)} no; the relation passes the vertical line test. yes; only one range value exists for each domain value. no; two range values exist for domain value –2. yes; two range values exist for domain value –2.

Option C.

Step-by-step explanation:

The given relation is

We need to check whether the above relation is a function or not.

A relation is a function if there exist a unique value of y for each value of x.

From the given relation it is clear that

y = 0 at x = -2

y = 6 at x = -2

Two range values exist for domain value –2. So, the given relation is not a function.

Therefore, the correct option is C.

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction