Objectives: Be able to identify quadratic functions and graphs Be able to model data with a quadratic functions in the calculator.

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Presentation transcript:

Objectives: Be able to identify quadratic functions and graphs Be able to model data with a quadratic functions in the calculator

 Standard form of a quadratic function:  If a = 0 there is no quadratic term, thus the function is linear, not quadratic. Quadratic Term Linear Term Constant Term

 Determine whether each function is linear or quadratic. Identify the quadratic, linear, and constant terms.

 Parabola: The graph of a quadratic function

 Axis of symmetry (or line of symmetry): the line that divides a parabola into two parts that are mirror images ◦ Equation:

 Vertex: the point at which the parabola intersects the line of symmetry. Maximum Minimum

 Given three points, can you find a quadratic equation? xy

Calculator Steps: (Make sure your first plot is ON under STAT PLOT) 1. STAT – Edit(#1) – enter data into L1(x) and L2(y) 2. STAT – CALC – QuadReg(#5) – Enter 3. Record your equation (don’t clear it) 4. Go to y = 5. VARS – Statistics(#5) – EQ – Enter 6. To See Graph: ZOOM - #9 or ZOOM - #0 7. Go to 2 nd Table to find amount looking for (for predictions)

 Jeremy Clarkson - on Stopping Distances! - YouTube Jeremy Clarkson - on Stopping Distances! - YouTube

 The table shows the relation between the speed of a Porsche 911 and the distance needed for the car to stop at that speed. What would the stopping distance be if the Porsche is traveling 70mph? Speed in mph (x) Stopping Distance in Ft (y)

 The table shows the height of a column of water as it drains from it’s container. Estimate the water level at 35 seconds.

 Page 241  #1, 5, 8, 10-13, 18, 21, 22, 32, 34 (Ch 3 Review due Friday)