Question

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

Answer 1

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

Explanation:

just took the test

Answer 2

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

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)