Question

How do you graph `y=x^2 + 1` by plotting points?

Answer 1

See answer below

Explanation:

Given: `y = x^2 + 1`

This function is a quadratic (square function). When graphed we call this function a parabola.

Graph using point plotting. Since `x` is the independent variable we can select any `x` and calculate the corresponding `y`.

`ul(" "x " "|""-3" "|""-2" "|""-1" "|" "0" "|" "1" "|" "2" "|" "3" "|)`
`" "y" "|" "10" "|" "5" "|" "2" "|" "1" "|" "2" "|" "5" "|" "10" "|`

Graph of `y = x^2 + 1`:

graph{y = x^2 + 1 [-5, 5, -5, 10]}