Question

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

Answer 1

See answer below

Explanation:

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]}