Graph x^2+3

Problem

y=x2+3

Solution

1. Identify the type of function, which is a quadratic function in the form y=a*x2+c

2. Determine the shape of the graph, which is a parabola opening upwards because the coefficient of x2 is positive (a=1.

3. Find the vertex by using the formula x=0 for functions in this form, resulting in the point (0,3)

4. Calculate additional points to determine the width of the parabola, such as (±1,4) and (±2,7)

5. Plot the vertex and the calculated points on a coordinate plane and connect them with a smooth, U-shaped curve.

Final Answer

y=x2+3

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