Question

The function g(x)=8(4x) is reflected across the x-axis to create f(x) What is the equation of f(x)?

Answer 1

Answer:

g(x)=-32x

Step-by-step explanation:

When something is reflected over the x-axis. The x doesn't change, it's the y that changes. So let's just generally say you have the point (x, y). Reflecting this over the x-axis means the y is changing, so it becomes (x, -y). And since the g(x) represents the y, you multiply the entire thing by -1. So the new equation becomes: g(x) = -(8(4x)) = -8(4x) = -32x. So the equation is g(x) = -32x or -8(4x) if you want to leave it like how it was before.