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)*

**y=-√х***y=-sqrt(x)*the reflection of the graph on the x-axis, the branch is directed downwards

**y=2+√х***2+sqrt(x)*graph offset by 2 units on the Y axis

**y=√(х+2)***sqrt(x+2)*graph offset by 2 units on the x-axis

**y=√2х***sqrt(2x)*the graph approaches the Y axis and is «compressed»

**y=2√х***2sqrt(x)*the graph is removed from the Y axis and is «stretched»

All square root graphics are built with our **graphical calculator**