Graph y = square root of x-3

Problem

y=√(,x−3)

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 a real number.

x−3≥0

x≥3

2. Determine the starting point of the graph by substituting the minimum domain value x=3 into the equation.

y=√(,3−3)

y=0

The graph starts at the point (3,0)

3. Calculate additional points to determine the shape and direction of the curve.
   For x=4

y=√(,4−3)=1

For x=7

y=√(,7−3)=2

For x=12

y=√(,12−3)=3

4. Plot the points (3,0) (4,1) (7,2) and (12,3) on a coordinate plane and draw a smooth curve starting from (3,0) and extending to the right.

Final Answer

y=√(,x−3)

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