Write the function rule for the function shown below reflected in the given axis.
f(x)= -6x;y-axis
Let g(x) be the reflection of f(x) in the y-axis. What is the function rule for g(x)?
g(x) = 6 x
g(x)= -6x
To find the function rule for the reflection of f(x) in the y-axis, we need to switch the sign of the coefficient of x.
Given f(x) = -6x, where the reflection is in the y-axis, the function rule for g(x) can be written as:
g(x) = 6x
To find the function rule for g(x), the reflection of f(x) in the y-axis, we need to reflect the function about the y-axis. To do this, we reverse the sign on the x-term.
The original function f(x) = -6x
To reflect it in the y-axis, we reverse the sign on the x-term:
g(x) = 6x
So, the function rule for g(x) is g(x) = 6x