September 6th, 2013
 Learning outcome: To determine the
equation of a parabola’s graph.
 Launch:
 Sketch a graph of the...
Explore: Modeling Quadratics
JUMPING JACKRABBITS
The diagram shows a jackrabbit jumping over a
three-foot-high fence. To c...
Explore: Modeling Quadratics
Explore: Modeling Quadratics
 When Ms. Bibbi kicked a soccer ball, it
traveled a horizontal distance of 150 feet
and reac...
Explore: Modeling quadratics
 At the skateboard park, the hot new
attraction is the U-Dip, a cement structure
embedded in...
 Make predictions about how many
places the graph of each equation below
will touch the x-axis.
Explore: Changing to graphing
form
 3. Now we are going to look at quadratics in
standard form y = 2x2 +4x -30
 What are...
Equations in graphing form
 Rewrite each equation in graphing form
then sketch a graph.
Parabola lab day 4
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Parabola lab day 4

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Parabola lab day 4

  1. 1. September 6th, 2013  Learning outcome: To determine the equation of a parabola’s graph.  Launch:  Sketch a graph of the following without a calculator and label the vertex  A. y = -(x-2)2 – 1 b. y = 4 (x+4)2 +1
  2. 2. Explore: Modeling Quadratics JUMPING JACKRABBITS The diagram shows a jackrabbit jumping over a three-foot-high fence. To clear the fence, the rabbit must start its jump at a point four feet from the fence. Sketch the situation and write an equation that models the path of the jackrabbit. Show or explain how you know your sketch and equation fit the situation.
  3. 3. Explore: Modeling Quadratics
  4. 4. Explore: Modeling Quadratics  When Ms. Bibbi kicked a soccer ball, it traveled a horizontal distance of 150 feet and reached a height of 100 feet at its highest point. Sketch the path of the soccer ball and find the equation of the parabola that models it.
  5. 5. Explore: Modeling quadratics  At the skateboard park, the hot new attraction is the U-Dip, a cement structure embedded into the ground. The cross- sectional view of the U-Dip is a parabola that dips 15 feet below the ground. The width at ground level, its widest part, is 40 feet across. Sketch the cross sectional view of the U-Dip, and find the equation of the parabola that models it.
  6. 6.  Make predictions about how many places the graph of each equation below will touch the x-axis.
  7. 7. Explore: Changing to graphing form  3. Now we are going to look at quadratics in standard form y = 2x2 +4x -30  What are the x-intercepts of the parabola?  Where is the vertex located in relation to the x-intercepts? Can you use this relation ship to find the x coordinate of the vertex  Now find the y-coordinate.  Make a quick graph of y = 2x2 +4x -30
  8. 8. Equations in graphing form  Rewrite each equation in graphing form then sketch a graph.

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