Graph x^2+4

Problem

y=x2+4

Solution

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

2. Determine the vertex. Since there is no x term (b=0, the vertex is located on the yaxis at (0,4)

3. Determine the direction of opening. Because the coefficient of x2 is positive (a=1, the parabola opens upward.

4. Find additional points to define the shape. For x=1 and x=−1 y=1+4=5 For x=2 and x=−2 y=2+4=8

5. Sketch the curve. Plot the vertex (0,4) and the points (−2,8) (−1,5) (1,5) and (2,8) then connect them with a smooth, U-shaped curve.

Final Answer

y=x2+4

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