Question

Describe the transformation

Parent function: f(x) = x^4
Transformed function: g(x) = 5 - x^4

Answer 1

Answer: Reflection on the x-axis and moved 5 units upwards.

Explanation:

First, we will transform the transformed function into an equation form we may be more familiar with.

g(x) = 5 - x⁴ ➜ g(x) = -x⁴ + 5

We see that this function is reflected on the x-axis (as given by the "-") and is moved 5 units upwards (as given by the "+ 5").

We can also graph this, see attached.