Which graph represents y 3 sqrt x

Precalculus Examples

Graph y=3- square root of x

Step 1

Find the domain for so that a list of values can be picked to find a list of points, which will help graphing the radical.

Set the radicand in greater than or equal to to find where the expression is defined.

The domain is all values of that make the expression defined.

Interval Notation:

Set-Builder Notation:

Interval Notation:

Set-Builder Notation:

Step 2

To find the radical expression end point, substitute the value , which is the least value in the domain, into .

Replace the variable with in the expression.

Pull terms out from under the radical, assuming positive real numbers.

Step 3

The radical expression end point is .

Step 4

Select a few values from the domain. It would be more useful to select the values so that they are next to the value of the radical expression end point.

Substitute the value into . In this case, the point is .

Replace the variable with in the expression.

Substitute the value into . In this case, the point is .

Replace the variable with in the expression.

The square root can be graphed using the points around the vertex

How does the graph of y sqrt x 2 compare to the graph of the parent square root function?