Question

Please help me out with this problem!

Answer 1

B

Explanation:

The red graph is the reflection of the black graph in the y- axis

Under a reflection in the y- axis

a point (x, y ) → (- x, y )

Note the x- coordinates are the negative of each other

`(x)/(-1)` = - x

The equation of the red graph is

y = f(
`(x)/(-1)`) → B

Answer 2

You can obtain the red graph by reflecting the black graph over the y axis.

Reflections over the y axis are obtaining by changing the orientation of the x axis, i.e. by mapping
`x\mapsto -x`

So, in particular, given a function f(x), you reflect it over the y axis by writing f(-x).

You only need to observe that

`f(-x)=f\left((x)/(-1)\right)`

to conclude the exercise.