The root function has the form y=√х, where х ≥ 0.
The graph of the root is a branch of the parabola, located in I of the fourth coordinate plane.
The graph starts at the point (0;0), reversing the branch to the right.
The construction of the root graph is similar to the construction of the graph of the square function.
Example root function graph:
y=√х y=sqrt(x)
![](https://meowgen.com/wp-content/uploads/2022/08/sqrtx.png)
- y=-√х y=-sqrt(x) the reflection of the graph on the x-axis, the branch is directed downwards
![](https://meowgen.com/wp-content/uploads/2022/08/msqrtx.png)
- y=2+√х 2+sqrt(x) graph offset by 2 units on the Y axis
![](https://meowgen.com/wp-content/uploads/2022/08/2psqrtx.png)
- y=√(х+2) sqrt(x+2) graph offset by 2 units on the x-axis
![](https://meowgen.com/wp-content/uploads/2022/08/sqrt2px.png)
- y=√2х sqrt(2x) the graph approaches the Y axis and is «compressed»
![](https://meowgen.com/wp-content/uploads/2022/08/sqrt2x.png)
- y=2√х 2sqrt(x) the graph is removed from the Y axis and is «stretched»
![](https://meowgen.com/wp-content/uploads/2022/08/2sqrtx.png)
All square root graphics are built with our graphical calculator