Describe the transformation of the parent function, \(f(x) = x^2\). Match the graph to the algebraic representation. Graphs are created using Desmos.com.
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a) \(f(x) = x^2+1\)
b) \(f(x) = x^2 -2\)
c) \(f(x) = (x+1)^2\)
d) \(f(x) = (x-5)^2\)
e) \(f(x) = (x+2)^2 -2\)
f) \(f(x) = -2(x-1)^2+3\)