Chapter 4: Polynomials Quadratic Functions (Section 4.1)

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Presentation transcript:

Chapter 4: Polynomials Quadratic Functions (Section 4.1)

Quadratic Function Information: 1.Axis of Symmetry all parabolas are symmetric with respect to the axis of symmetry 2.Vertex (maximum or minimum) the highest or lowest point of the function

Guess… Axis of Symmetry Vertex = Minimum

Algebraically… Axis of SymmetryVertex

Guess… Axis of Symmetry Vertex = Maximum

Algebraically… Axis of SymmetryVertex

Now you try… Find the vertex and axis of symmetry

How to Find the Axis of Symmetry + Vertex (on the calculator) Steps: 1.Enter equation into “y =” 2.Graph the function to see if you are looking for a “max” or “min”. 3.Press “2 nd ” and “Trace” 4.Press either #3 (min) or #4 (max) 5.Pick a point to the left and right of the vertex (make sure the arrows are pointing to each other) 6.Press “Enter” and then…

How to Find the Axis of Symmetry + Vertex (on the calculator) Vertex = (X-VALUE, Y-VALUE) Axis of Symmetry … x = X – VALUE

Now you try… Axis of Symmetry Vertex = Maximum

Finding the Equation of a Parabola Vertex (1, 2) Point (0, 0)

Finding the Equation of a Parabola Vertex (3,4) Point (1,2)

Finding the Equation of a Parabola Vertex (2,3) Point (0,2)