How do you graph the function $y=f(x)=x^2+1$ ?

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Answer 1 · 2018-07-02T05:30:19

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Given: $f(x) = x^2 + 1$

You can use point plotting. Select any $x$ value and then calculate the $y$ value and plot.

$ul(" "x" "| " "y" ")$
$""-4" "|" "17$
$""-2" "|" "5$
$" "0" "|" "1$
$" "2" "|" "5$
$" "4" "|" "17$

or you can realize that $x^2 + 1$ is a vertical shift up $1$ of the parent function $f(x) = x^2$

or you can just graph the function using a graphing calculator.

TI-83, 84: Y= X^2 + 1 then select GRAPH

graph{x^2+1 [-5, 5, -4, 20]}

How do you graph the function y=f(x)=x^2+1y=f(x)=x^2+1?