Question

Please help me out with this problem!

Answer 1

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

$f(-x)=f\left(\dfrac{x}{-1}\right)$

to conclude the exercise.

Answer 2

Answer:

B

Step-by-step 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

$\frac{x}{-1}$ = - x

The equation of the red graph is

y = f($\frac{x}{-1}$) → B