(2pt) 1. Here is a graph of y=p(x), represented with a solid curve, and a set of data. Which transformation of P best matches the set of data?
1) d(x) = p(x + 2) + 3
5
op
2) d(x) = p(x - 2) + 3
4
18
3
3) d(x) = p(x - 2) - 3
20
p(x)
4) d(x) = p(x + 2) - 3
44
+372
-2

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

x=0

step-by-step explanation:

#12 the answer is the third option