What rule should be used to transform a table of data to represent the reflection of f(x) over the line y=x?
f(x)
x y
-2 -31
-1 0
1 2
2 33
a. switch the x-values and y-values in the table
b. multiply each y-value in the table by -1
c. multiply the x-values and the y-values in the table by -1
d. multiply each x-value in the table by -1

a. switch the x-values and y-values in the table

Step-by-step explanation:

For any table or graph reflection over the line y=x

The rule is (x,y) > (y,x)

f(x) is reflected over the line y=x, so the coordinates of f(x) becomes

(-2,-31) becomes (-31,-2)

(-1,0) becomes (0,-1)

(1,2) becomes (2,1)

(2,33) becomes (33,2)

As per the rule, we switch the x-values and y-values in the table

For reflection over the line y=x , the coordinate becomes

 (-31,-2)

 (0,-1)

(2,1)

(33,2)

the answer is 24

step-by-step explanation: