Graph y = square root of x-2

Problem

y=√(,x−2)

Solution

1. Identify the domain by setting the expression inside the square root to be greater than or equal to zero, since the square root of a negative number is not defined in the set of real numbers.

x−2≥0

x≥2

2. Determine the starting point of the graph by substituting the minimum domain value x=2 into the equation.

y=√(,2−2)

y=0

The graph starts at the point (2,0)

3. Calculate additional points to determine the shape of the curve by choosing values of x that result in perfect squares.
   If x=3

y=√(,3−2)=1

If x=6

y=√(,6−2)=2

If x=11

y=√(,11−2)=3

4. Plot the points (2,0) (3,1) (6,2) and (11,3) on a coordinate plane and draw a smooth curve starting from (2,0) and extending to the right.

Final Answer

y=√(,x−2)

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