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 transcript:

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.

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

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

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

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 t + 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?

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.

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