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Graph a parabola through these points (0,3)(-1, 2)(-2, 3) Then write the equation of the parabola in vertex form by using the transformations.

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Presentation on theme: "Graph a parabola through these points (0,3)(-1, 2)(-2, 3) Then write the equation of the parabola in vertex form by using the transformations."— Presentation transcript:

1 Graph a parabola through these points (0,3)(-1, 2)(-2, 3) Then write the equation of the parabola in vertex form by using the transformations.

2 Before you leave today, to model data with quadratic functions. CCRS: 22, 23

3 A parabola contains the points (0,0) (-1, 2) and (1,6). What is the equation of this parabola in standard form?

4 What is the equation of the parabola containing the points (0,0) (1,-2)(-1, -4)?

5 Campers at an aerospace camp launch rockets on the last day of camp. The path of Rocket 1 is modeled by the equations h = -16t 2 + 150t + 1 where t is the time in seconds and h is the distance from the ground. The path of Rocket 2 is modeled by the graph at the right. Which rocket flew higher?

6 a) Which rocket stayed in the air longer? b) What is a reasonable domain and range for each quadratic model? c) Describe what the domains tell you about each of the models.

7 1) Find the equation in standard form of the parabola that passes through (0,0) (1, 2)(-1, 2)


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