Graph y=x^2-7

Problem

y=x2−7

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,−7)

3. Find the yintercept. Setting x=0 gives y=−7 which is the vertex.

4. Find the xintercepts. Set y=0 and solve x2−7=0 which gives x=±√(,7)≈±2.65

5. Plot additional points to determine the width. For example, if x=1 y=1−7=−6 If x=2 y=2−7=−3

6. Sketch the curve. Draw a smooth, U-shaped parabola opening upwards through the points (0,−7) (1,−6) (−1,−6) (2,−3) and (−2,−3)

Final Answer

y=x2−7

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