Graph y = square root of x-4

Problem

y=√(,x−4)

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−4≥0

x≥4

2. Determine the starting point of the graph by substituting the minimum domain value x=4 into the equation.

y=√(,4−4)

y=0

The graph starts at the point (4,0)

3. Calculate additional points to determine the shape and direction of the curve.
   For x=5

y=√(,5−4)=1

For x=8

y=√(,8−4)=2

For x=13

y=√(,13−4)=3

4. Plot the points (4,0) (5,1) (8,2) and (13,3) on a coordinate plane and draw a smooth curve starting from (4,0) and extending to the right.

Final Answer

y=√(,x−4)

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