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 [tex]x\mapsto -x[/tex]
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
[tex]f(-x)=f\left(\dfrac{x}{-1}\right)[/tex]
to conclude the exercise.
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
[tex]\frac{x}{-1}[/tex] = - x
The equation of the red graph is
y = f([tex]\frac{x}{-1}[/tex]) → B
