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

Jul 2, 2015

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]}