Which function is represented by the graph? g(x) = |x + 2.5| g(x) = |x| + 2.5 g(x) = |x – 2.5| g(x) = |x| – 2.5

The correct option is 2.

Step-by-step explanation:

The parent absolute function is

The graph of this function is V-shaped and the vertex of this function is origin.

The transformation is defined as

               .... (1)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

From the given graph it is clear that the function shifts 2.5 units up. It means a=0 and b=2.5.

Substitute a=0 and b=2.5 in equation (1).

The required function is g(x)=|x|+2.5. Therefore the correct option is 2.

c

-by-step explanation:

it would be c

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.