A parent function is a template of domain and range that extends to other members of a function family.
The equation for the quadratic parent function is
y = x2, where x ≠ 0.
Here are a few quadratic functions:
The children are transformations of the parent. Some functions will shift upward or downward, open wider or more narrow, boldly rotate 180 degrees, or a combination of the above. This article focuses on vertical translations. Learn why a quadratic function shifts upward or downward.