How do you graph $y = x^{2} + 5$ $y=x^2+5$ ?

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Answer 1 · 2017-10-09T15:55:31

graph{x^2 +5 [-9.46, 10.54, -0.96, 9.04]}

$y = x^{2} + 5$ $y=x^2 +5$

Firstly, draw the graph of $y = x^{2}$ $y=x^2$

graph{x^2 [-10, 10, -5, 5]}

Now, when we plot $y = x^{2} + 5$ $y=x^2+5$ our graph will shift $5$ $5$ units in the $+ y$ $+y$ direction.

  graph{x^2 +5 [-9.46, 10.54, -0.96, 9.04]}

If the function was $y = x^{2} - 5$ $y=x^2-5$ then the graph would move $5$ $5$ units in the $- y$ $-y$ direction.

graph{x^2 -5 [-9.795, 10.205, -6.68, 3.32]}

How do you graph y=x2+5y=x^2+5?