Suppose f (x)=x2. find the graph of. f(x+4)

Graph of f(x+4) has been shown in the attached file.

Step-by-step explanation:

We have been given that

On substituting x = x+4, we get

Now, we know that the parent function represents a parabola whose vertex is at (0,0).

When we add any constant c in x then the parent function shifts c units left.

Since, we have added 4 in x, hence the graph of the given function will shift 4 units left. Thus, the vertex of the new parabola will be (-4,0)

Graph of f(x+4) has been shown in the attached file.

a. 3/4 ÷ 1/8 = 6

step-by-step explanation:

in the question, the number line represents 3/4 divided into 6 equal units. each arrow represents a unit and there are a total of six arrows.

the size of each unit is 1/8 as shown.

showing that 1/8 divides 3/4 into 6 divisions:

3/4 ÷ 1/8

= 3/4 x 8/1

= 3/1 x 8/4

= 3 x 2

= 6

hence, the number line represents six divisions given by 3/4 ÷ 1/8.

answer are

step-by-step explanation: