Either by hand or with a graphing calculator, Desmos or Geogebra , graph the following functions. Pay particular attention to how the graphs are related. What do they have in common? What is different? What is making the graphs different by the same?
a) \(f(x) = x^2\)
b) \(f(x) = x^2 +2\)
c) \(f(x) = x^2 -3\)
d) \(f(x) = x^2 -5\)
Describe in your own words what you notice about the graphs of the functions.