describe the effect of the parameter change on the modified graph

We have the graph of two quadratic functions:
[tex]f(x)=x^2\text{ and }f(x)=x^2+2[/tex]The first is the parent function.
The other function is the parent function with a translation 2 units up.
[tex]y=x^2+c[/tex]The independent term, c, that in this case takes a value of c=2, translates the function c units up (or down, when c is negative).