Graph x^2

Problem

x2

Solution

1. Identify the function as a basic quadratic equation of the form y=a*x2+b*x+c where a=1 b=0 and c=0

2. Determine the shape of the graph, which is a parabola that opens upward because the leading coefficient a is positive.

3. Locate the vertex by using the formula x=(−b)/(2*a) which gives x=0 Substituting x=0 into the function yields y=0 so the vertex is at (0,0)

4. Calculate additional points to define the curve, such as (±1,1) and (±2,4)

5. Sketch the smooth, U-shaped curve passing through these points, symmetric about the y-axis (x=0.

Final Answer

y=x2

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