Question

The graph of f(x) = X is reflected over the y-axis. Use the graphing calculator to graph this reflection. Which list contains

three points that lie on the graph of the reflection?
(-81, 9), (-36, 6).(-1, 1)
(1, -1), (16,-4), (36, -6)
(-49, 7). (-18, 9), (-1, 1)
(1, -1). (4.-16), (5,-25)

Answer 1

a

Explanation:

Answer 2

Option A.

Explanation:

Note : The given function is linear, all options are incorrect for linear function.

Consider the given function is

`f(x)=√(x)`

For x=81,

`f(81)=√(81)=9`

For x=36,

`f(36)=√(36)=6`

For x=1,

`f(1)=√(1)=1`

It means the given function passes through the points (81,9), (36,6) and (1,1).

If a graph reflected across y-axis then

`(x,y)\rightarrow (-x,y)`

So, the new function is

`g(x)=√(-x)`

`(81,9)\rightarrow (-81,9)`

`(36, 6)\rightarrow (-36, 6)`

`(1, 1)\rightarrow (-1, 1)`

It means points (-81, 9), (-36, 6) and (-1, 1) lie on the graph of the reflection.

Therefore, the correct option is A.