10-1 Exploring Quadratic Graphs (with calculator).

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Presentation transcript:

10-1 Exploring Quadratic Graphs (with calculator)

Warm-up 1)What is the cost of 95 min with company B? 2)What is the cost of 132 min with company A? 3)What is the cost of 178 min with company C? CompanyMonthly Cost for 100 Min Monthly Cost for over 100 Min A B C

Notes Parabola y = ax 2 + bx + c Axis of Symmetry – fold or line that divides parabola into 2 matching halves Vertex – highest or lowest point of a parabola If a>0, then parabola opens up (minimum) If a<0, then parabola opens down (maximum)

Parabola

Examples: Activity 24 FunctionSketchValue of aOpen up or down Vertex highest or lowest Axis of symmetry Same, Narrow or Wide Y = x 2 1uplowestX=0same Y = -1x 2 Y = 6x 2 Y = -6x 2 Y=0.3x 2 Y=-0.3x

Notes What does “a” do to the graph?

Examples: Activity 25 FunctionSketchValue of cCoordinates of Vertex Axis of Symmetry Y = 1x Y = 1x Y = 1x 2 – 4 Y = 1x 2 – 8.5

Notes What does “c” do to the graph?

Examples: Activity 26 FunctionSketchValue of b Coordinates of Vertex Axis of Symmetry Y = x Y = x 2 – 4x + 12 Y = x x + 12 Y = x 2 – 8.8x + 12

Notes What does “b” do to the graph?