Question

What is the equation for g(x) that reflects the graph of f(x) = [x] across the x-axis?

A) g(x) = -[x]
B) g(x) = [x]
C) g(x) = -[x] + 1
D) g(x) = [x] + 1

Answer 1

The equation for reflecting the graph of f(x) = [x] across the x-axis is g(x) = -[x].

Step-by-step explanation:

The equation for reflecting the graph of f(x) = [x] across the x-axis is g(x) = -[x].

When reflecting a graph across the x-axis, each point on the original graph will have the same x-coordinate but a negated y-coordinate.

For example, if the original graph has a point (2, 3), the reflected graph will have a corresponding point (2, -3).