How do you graph $y=x^2-5$ ?

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Answer 1 · 2016-12-01T12:02:52

$y$ is the standard graph of $x^2$ shifted down by 5 units.

$y=x^2 +5$

$y$ is the standard graph of $x^2$ shifted down by 5 units.

$y$ has zeros at $+-sqrt5$

$y' = 2x$
Hence: $y_min = -5$ at $x=0$

The graph of $y$ is shown below:
graph{x^2-5 [-10, 10, -5, 5]}

How do you graph y=x^2-5y=x^2-5?