How do you reflect a function across the x-axis (flip it upside down)?

Question

Responses

Subtract a number larger than 10

Change the variable

Use an irrational exponent

Multiply by a negative coefficient

Answer 1

The correct answer is to multiply the function by a negative coefficient.

To reflect a function across the x-axis, you need to multiply the function by -1. This will flip the function upside down, reflecting it across the x-axis.

For example, if we have the function f(x) = 2x^2, reflecting it across the x-axis would result in -f(x) = -2x^2. This means that all the y-coordinates of the original function become negative, effectively flipping it upside down.