# Modulus and Quadratic functions

- Author:
- Mr. Wright

- Topic:
- Functions, Quadratic Functions

Finding roots of quadratic and modulus functions

The task is to investigate how translations affect the roots of quadratic and modulus functions. This geogebra worksheet plots f(x)=(x+p)^2+q and g(x)=|x+r|+s. Some prompt questions are below.
How are the graphs similar and how are they different?
What values can q take so that the quadratic has at least one root?
What is the relationship between p and q (or r and s) and the minima?
When do the modulus and the quadratic functions have the same roots?
What values of p and q (or r and s) give the root x=0? What about x = 1, 2 or 5?
What is the relationship between the sliders and the roots?