Graph y=1/2x^2

Problem

y=1/2*x2

Solution

1. Identify the type of function, which is a quadratic function in the form y=a*x2 where a=1/2

2. Determine the vertex of the parabola, which is at the origin (0,0) because there are no horizontal or vertical shifts.

3. Calculate several points on the graph by substituting x values into the equation.

4. Substitute x=2

y=1/2*(2)2=2

5. Substitute x=−2

y=1/2*(−2)2=2

6. Substitute x=4

y=1/2*(4)2=8

7. Plot the points (0,0) (2,2) (−2,2) (4,8) and (−4,8) on a coordinate plane and connect them with a smooth, upward-opening curve.

Final Answer

y=1/2*x2

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