How is the graph of #y=5x^2-4# different from the graph of #y=5x^2#?

1 Answer
Aug 12, 2016

The graph of #y = 5x^2 - 4# has undergone a vertical transformation of four units downward relative to that of #y = 5x^2#.

The graphs of the two quadratics confirm.

Of the following graphs, the one that has the vertex at the origin is #y = 5x^2#.

#y = 5x^2 - 4# has the same shape as #y = 5x^2# and has the same axis of symmetry. All that has been changed is it has been moved down four units.

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Hopefully this helps!