Graph y=x^2-2

Problem

y=x2−2

Solution

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

2. Determine the vertex of the parabola by using the coordinates (0,c) which gives the vertex at (0,−2)

3. Find the yintercept by setting x=0 resulting in y=−2

4. Find the xintercepts by setting y=0 and solving x2−2=0 which gives x=±√(,2)≈±1.41

5. Calculate additional points to determine the shape, such as x=1⇒y=−1 and x=2⇒y=2

6. Plot the points and draw a smooth, upward-opening U-shaped curve (parabola) symmetric about the yaxis.

Final Answer

y=x2−2

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