Question

Using the graph of f(x)=x^2 as a guide describe the transformations and then sketch a graph of each function g(x)=x^2+4

Answer 1

When we add a number to a function like:

`h(x)=g(x)+C`

Where g(x) is the original function, C is a constant number and h(x) is the transformed function. We are translating the function up or down, when the constant is positive the function goes up and if the constant is negative the function goes down. Our function is:

`g(x)=x^2+4`

So this transformation takes the function "x²" four units up.