Graph x=y^2

Problem

x=y^2

Solution

1. Identify the type of equation. This is a horizontal parabola because x is a function of y^2

2. Determine the vertex. Since there are no horizontal or vertical shifts, the vertex is at the origin (0,0)

3. Determine the orientation. Because the coefficient of y^2 is positive, the parabola opens to the right.

4. Calculate sample points to define the shape. If y=1 then x=1^2=1 If y=−1 then x=(−1)^2=1 If y=2 then x=2^2=4 If y=−2 then x=(−2)^2=4

5. Plot the points (0,0) (1,1) (1,−1) (4,2) and (4,−2) and connect them with a smooth curve opening to the right.

Final Answer

x=y^2

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