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Published byEthan Sanders Modified over 6 years ago
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Coefficients a, b, and c are coefficients Examples: Find a, b, and c
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Open Up / Open Down
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Example #1 A > 0 Therefore, the parabola opens up
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Example #2 A < 0 Therefore, the parabola opens down
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Examples: Determine if the Parabola Opens Up or Opens Down
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Axis of Symmetry Vertex Point
Axis of symmetry is found using To find the y coordinate of the vertex point, substitute x into the equation and solve for y.
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Examples Find the vertex point
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Graphing Quadratic Equations
in Standard Form
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Notes-Graphing Quadratic Equations 3.1
Steps to graph quadratic equations 1. Put the equation in standard form: 2. Identify the values of a, b, and c. 3. Find the axis of symmetry: (vertical line)
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Steps to graph quadratic equations (cont.)
4. Find your vertex (substitute your axis of symmetry back into the original equation and solve for y). 5. Construct a table of values for x and y. Choose values of x, two above and two below your vertex. 6. Plot the points and connect them with a U-shaped curve.
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Graph opens up or opens down?
If a is positive, then the parabola will open up. If a is negative, then the parabola will open down.
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