The black graph is the graph of y=f(x). choose the equation for the red graph.

c

Step-by-step explanation:

The red graph is the black graph translated vertically by 1 unit

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Thus f(x) + 1

Note

y - 1 = f(x) ← add 1 to both sides

y = f(x) + 1 ← as required

The equation of the red graph is

y - 1 = f(x) → c

3 is greater then both of those numbers

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.