Question

The function f(x) is defined as f(x) = (6)x. Which table of values could be used to graph g(x), a reflection of f(x) across the x-axis?

Answer 1

you can use any points as value of x for f(x). and for g(x) you can take negative of y axis for ex.

for x=1
f(x)=6*1=6
g(x)=-6

for x=-1
f(x) = - 6
g(x)= 6

you can use this for plot tbe graph

Answer 2

Answer:

Given, f(x) = 6(x).

And g(x) is to be graphed as a reflection of f(x) across the x-axis,

Lets take any number as the value of x, say 2.

Then, f(2) = 6 x 2 = 12

And g(2) = -12

Taking x = -3,

f(-3) = 6 x (-3) = -18

So, g(-3) = 18

Such values tabulated can be used to graph g(x), as a reflection of f(x) across the x-axis.