Question

The function f(x)=(x+1)2
𝑓
(
𝑥
)
=
(
𝑥
+
1
)
2
is reflected over the x-axis to create g(x)
𝑔
(
𝑥
)
. Identify the equation for g(x)
𝑔
(
𝑥
)

Answer 1

g(x) = -f(x) = -(x + 1)^2.

(Reflection across the x-axis multiplies the y-values by −1. The vertex stays at (−1,0); the range becomes (−∞, 0].)