Question

Given the parent function and a description of the transformation, write the equation of the transformed function, f(x). Parabolic, reflected over the x-axis, translated up 3.

Answer 1

Explanation:

1. Start with the parent function y = x^2.

2. Reflect the graph over the x-axis by multiplying the entire function by -1: y = -x^2.

3. Translate the graph up 3 units by adding 3 to the function: y = -x^2 + 3.

4. The final equation of the transformed function is f(x) = -x^2 + 3.