Question

Describe the transformations from the parent function f(x)=x^2.

Answer 1

When describing transformations from the parent function f(x) = x^2, we consider shifts, stretches, or reflections. This includes vertical and horizontal translations and vertical stretching or compression.

Step-by-step explanation:

When describing the transformations from the parent function f(x) = x^2, we consider alterations to the graph such as shifts, stretches, or reflections. Here are three common types of transformations:

1. Vertical translation: Adding or subtracting a constant value from the function changes the graph's position up or down.
2. Horizontal translation: Adding or subtracting a constant value from the input shifts the graph left or right.
3. Vertical stretching or compression: Multiplying the function by a constant changes the steepness of the graph. A value greater than 1 stretches it vertically, while a value between 0 and 1 compresses it.