Question

Let g(x) be the reflection of f(x) = x² + 5 in the x-axis. What is a function rule for g(x)?

Answer 1

You might want to begin with an easier example. Start with y=x^2. Reflect its graph in the x-axis. What would be the formula for this reflected graph?

Answer 2

-x^2?

Answer 3

@triciaal

Answer 4

Yes, y=-x^2 is the function representing the reflection of y=x^2 in the x-axis. Now, going back to your original question, can you find the appropriate function rule?

Answer 5

the answer is y=-x^2-5?