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

Answer:

a

Step-by-step explanation:

Answer 2

Answer:

Option A.

Step-by-step explanation:

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

Consider the given function is

$f(x)=\sqrt{x}$

For x=81,

$f(81)=\sqrt{81}=9$

For x=36,

$f(36)=\sqrt{36}=6$

For x=1,

$f(1)=\sqrt{1}=1$

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

$g(x)=\sqrt{-x}$

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

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

$(1, 1)\rightarrow (-1, 1)$

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

Therefore, the correct option is A.