reflection over the x asis for g(x)=2(x/4+3)^4-5
To reflect a function over the x-axis, we change the sign of the function.
For the function g(x) = 2(x/4 + 3)^4 - 5, reflecting it over the x-axis would result in the function g'(x) = -2(x/4 + 3)^4 + 5.
To reflect a function over the x-axis, we need to replace the function's y-coordinates with their negatives.
Given the function g(x) = 2((x/4) + 3)^4 - 5, let's perform the reflection:
Step 1: Start with the original function g(x).
g(x) = 2((x/4) + 3)^4 - 5
Step 2: Replace y with -y.
-g(x) = -2((x/4) + 3)^4 + 5
Therefore, the reflection of g(x) over the x-axis is -g(x) = -2((x/4) + 3)^4 + 5.
To reflect a function over the x-axis, we need to change the sign of the y-values while keeping the x-values the same.
In this case, we have the function g(x) = 2(x/4 + 3)^4 - 5. To reflect it over the x-axis, we need to change the sign of the y-values.
Step 1: Start with the original function g(x) = 2(x/4 + 3)^4 - 5.
Step 2: Replace all instances of g(x) with -g(x).
Step 3: The reflected function is -g(x) = -2(x/4 + 3)^4 + 5.
Therefore, the reflection of g(x) over the x-axis is -2(x/4 + 3)^4 + 5.