Quadratic Functions & Models How Gravity Has Made the Parabola an Important Graph.

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Presentation transcript:

Quadratic Functions & Models How Gravity Has Made the Parabola an Important Graph

Quadratic Function Definition

Graphing Quadratic Equations Two ways: 1.Completing the SquareCompleting the Square 2.Using vertex and axis of symmetryUsing vertex and axis of symmetry

Graphing Quadratic Equations Option 1: Step One: Complete the square in x to write the quadratic function in the form f(x) = a(x – h)^2 + k. Step Two: Graph the function in stages using transformations.

Graphing Quadratic Functions Option Two: Determine the vertex, Determine the axis of symmetry. Determine the y-intercept, Determine the x-intercepts by setting the equation equal to 0.

Graphing Quadratic Equations Determine an additional point by using the y-intercept and the axis of symmetry. Plot and draw the graph.

Finding the Maximum or Minimum Value Using the Quadratic Function Motion of a Projectile. Geometry Measurement. Fencing.

Applications Suspension Bridge