I.Writing the Equation of a Parabola. When you know the vertex and a point on a parabola, you can use vertex form to write an equation of the parabola.

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Presentation transcript:

I.Writing the Equation of a Parabola. When you know the vertex and a point on a parabola, you can use vertex form to write an equation of the parabola. If you do not know the vertex form you can use standard form and any 3 points of the parabola to find an equation.

A.Use the Graphing calculator to generate the standard form of the parabola that contains the following points. 1. (1,-2),(2,4),(3,-4) Step 1: STAT, Edit, then enter the ordered pairs in L₁ and L₂ Step 2: STAT, CALC, QuadReg Step 3: Verify by graphing the STAT plot and the equation found in Step 2

2. xF(x) 13 28

B. Determine whether a quadratic model exist for each set of values. If so, write the model. 1. f(-2) = 16, f(0) = 0, f(1) = 4

2. The table show a meteorologist's predicted temperatures for a summer day in Denver, Colorado. What is a quadratic model for this data? Predict the high temperature for the day. At what time does the high temperature occur? TimePredicted Temperature 6 am63 9am76 12pm86 3pm89 6pm85 9pm76

Homework Pre-AP p. 212 #7-27 odd Quadratic WS #2,5d, 6, and 7a