Graph x = square root of y

Problem

x=√(,y)

Solution

1. Identify the domain and range of the function. Since x is the result of a principal square root, x must be greater than or equal to 0 Similarly, the value under the square root, y must be greater than or equal to 0

2. Rewrite the equation in terms of y to identify the shape of the curve. Squaring both sides of x=√(,y) gives y=x2 with the restriction that x≥0

3. Recognize the graph as the right half of a parabola that opens upward. The vertex is at the origin (0,0)

4. Plot key points to define the curve. For x=0 y=0 For x=1 y=1 For x=2 y=4 For x=3 y=9

5. Sketch a smooth curve starting at (0,0) and passing through (1,1) (2,4) and (3,9) extending into the first quadrant.

Final Answer

x=√(,y)⇒y=x2,x≥0

Want more problems? Check here!