Foundations
Foundations
Graphing a Quadratic
To sketch the graph of a quadratic equation, follow these steps:
- Find a, b, and c of the equation.
- Check if a > 0 or a < 0 to decide if the graph opens up (a > 0) or down (a < 0).
- Find the vertex. This is the minimum or maximum point of the parabola. The x-coordinate can be found by the equation
. Once found, substitute this value into the original equation to find the value of y. These will be the (x,y) coordinates of the vertex. - Find the y-intercept by substituting 0 in for x in the equation.
- Find the x-intercepts by substituting y = 0 and solving the quadratic equation. Use either the quadratic formula, completing the square, or put the equation in factored form to solve for x.
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