The function f(x)=(x+7)^2 is reflected over the x-axis. Write a function g(x) based on the rule rxaxis

Answer 1

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.

Answer 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

Answer 3

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.