Question

Is `y=2+5x^2` a linear equation?

Answer 1

No. It is a parabola.

Explanation:

Because the `x` of `x^2` can be positive or negative, there will be two values for `x` for every value of `y`, except at the vertex, where the parabola crosses the `y` axis and `x=0`.

Example:

`x=1;` `y=7`

`x=-1;` `y=7`

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