Question 1208124
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Let's look at an example
f(x) = x^2
g(x) = f(x)+2 = x^2+2
h(x) = f(x+2) = (x+2)^2


Graph
{{{graph(400,400,-5,5,-5,5,x^2,x^2+2,(x+2)^2)}}}
f(x) in red, g(x) in green, h(x) in blue.


g(x) is the result of shifting f(x) 2 units upward.
h(x) is the result of shifting f(x) 2 units to the left.


Two graphing tools I recommend are Desmos and GeoGebra. There are many other similar tools.
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