The function f(x)=(x+7)^2 is reflected over the x-axis. Write a function g(x) based on the rule rxaxis
To reflect a function over the x-axis, we need to change the sign of its y-values.
If we start with the function f(x) = (x+7)^2, the reflection over the x-axis should result in a new function g(x) such that g(x) = -f(x).
Since f(x) = (x+7)^2, we can substitute this expression into g(x):
g(x) = -(x+7)^2.
Thus, the function g(x) based on the reflection over the x-axis is g(x) = -(x+7)^2.
The function f(x)=(x+7)^2 is reflected over the y-axis. Write a function h(x) based on the rule ry-axis
To reflect a function over the y-axis, we need to change the sign of its x-values.
Starting with the function f(x) = (x+7)^2, the reflection over the y-axis should result in a new function h(x) such that h(x) = f(-x).
Since f(x) = (x+7)^2, we can substitute -x for x in the expression:
h(x) = (-x+7)^2.
Thus, the function h(x) based on the reflection over the y-axis is h(x) = (-x+7)^2.