How is the graph of #g(x)=x^2-2# related to the graph of #f(x)=x^2#?

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Answer 1 · 2017-07-26T03:15:20

Both are functions, only difference (equation-wise) is the #c#-value, which causes #g(x)# to translate #2# units down.

The only difference between the two (equation-wise) is the #c#-value .

The #c#-value controls the vertical translation of a function.

With #-2# as the value, #g(x)# goes down #2# units.

We can prove this with a graph.

graph{(y-x^2)(y-x^2+2)=0 [-16.16, 12.31, -7.46, 6.77]}

The graph with the lower vertex is #g(x)#.

Hope this helps :)