Monday, August 24, 2015 Graphing Parabolas. The graph of a quadratic function is a parabola. Base Graph - xy -39 -24 1 00 11 24 39 Vertex Axis of Symmetry.

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Presentation transcript:

Monday, August 24, 2015 Graphing Parabolas

The graph of a quadratic function is a parabola. Base Graph - xy Vertex Axis of Symmetry

Graphing Parabolas Point Pattern Starting at the vertex Over 1, up 1 from the previous points Over 1, up 3 from the previous points Over 1, up 5

A parabola is symmetrical (it can be folded in half and one side lies directly over top of the other side). The axis of symmetry of a parabola is the reflection line that maps the parabola onto itself. For, the axis of symmetry is (vertical line) opens up  the vertex is the lowest point. (The minimum value is the y-coordinate of the vertex) has a minimum value of 0.

Graphing Parabolas Finding the coordinates the vertex on the graphing calculator. GC

Complete the investigation at the top of the page on page 105 # 1→3, 5 (10 minutes) Graphing Parabolas 3a) (0, 0) 3b) (0, 2) 3c) (0, -5) b) for all 3 parabolas 5a) (0, 1) 5b) (0, -3) 5c) (0, -7) 5d) (0, 8)

Graphing Parabolas In General: Compared, is translated up or down k units. If k>0 the graph is translated up k units. If k<0 the graph is translated down k units.

Graphing Parabolas Ex 1For each of the following, state the vertex, then graph. a) Vertex: (0, 3) b) Vertex: (0, 3) c) Vertex: (0, 1)

Now it is your turn….. Work Assignment Pg # 1ab, 2a, 6ab, 13 Worksheet – Also state domain and range for each