Respuesta :
The function will simply get reflected about the y-axis.
Let's approach this through what we know. Since we know that the x values are mirrored, we know that the points in Quadrant I and IV will be reflected over to the negative side, Quadrants II and III, because they simply change in signs.
However, we also know that the function y-values do not change. This is because whatever the x values are don't change the range and y-values of an even function.
To be more specific, if we have an even function, we are most likely dealing with quadratics or variants/transformations of the quadratic function.
If we were to have 2, and -2, and we wanted to plug them into the equation:
[tex]y = x^{2} + C[/tex], the signs do not change the y-values of the function.
Hence, we know that it ONLY gets reflected across the y-axis.
Let's approach this through what we know. Since we know that the x values are mirrored, we know that the points in Quadrant I and IV will be reflected over to the negative side, Quadrants II and III, because they simply change in signs.
However, we also know that the function y-values do not change. This is because whatever the x values are don't change the range and y-values of an even function.
To be more specific, if we have an even function, we are most likely dealing with quadratics or variants/transformations of the quadratic function.
If we were to have 2, and -2, and we wanted to plug them into the equation:
[tex]y = x^{2} + C[/tex], the signs do not change the y-values of the function.
Hence, we know that it ONLY gets reflected across the y-axis.
The transformation f(x)↦f(-x) , the graph of f(x) reflects it across the y-axis
Option B
Given :
The transformation f(x) -> f(-x)
For example , lets take a point on f(x)
Let (x,y) be a point on f(x)
given f(x)- > f(-x) it means x is replaced by -x
f(x) is not multiplied with -1 so y value remains the same
(x,y) be a point on f(x) .
After transformation f(x)-> f(-x) , the point (x,y) ---> (-x,y)
When x is multiplied by -1 then there is a reflection across the y axis
So, the graph of f(x) reflects it across the y axis.
Learn more : brainly.com/question/12845351
