I need help on 18a please!

The answer to your question is below

Step-by-step explanation:

Data

f(x) = x² -1

g(x) = x² - 2

Process

1.- Substitute g(x) in f(x)

               (f o g) (x) = (x² - 2)² - 1

2.- Expand the perfect square trinomial

               (f o g) (x) = x⁴ - 4x² + 4 - 1

3.- Simplify

               (f o g) (x) = x⁴ - 4x² + 3

4.- Conclusion

Following this process it was shown that (f o g)(x) = x⁴ - 4x² + 3

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction