quadratic models 1 aims: to know what a quadratic is. to know the different graph shapes. to use...
TRANSCRIPT
Quadratic Models 1
Aims:To know what a quadratic is.
To know the different graph shapes.To use technology to plot some graphs.To be able to identify key features of a
graph.To link the graphs features with it’s
equation.
What is a quadratic?
• A quadratic is an equation where the highest power is x2.
• They can come in many different forms.
• Identify which of the following are quadratics.
2x2 + 3x - 92x2 + 3x3 -
9(x+1)(x+3)
(x+1)(x+2)(x+3)
(x – 1)2 - 8 (x2+1)(x-5)
Expanded Form
• Today we are going to look at the expanded form of quadratics.
• y = ax2 + bx + c
• The shape of a quadratic graph is always a parabola.
Parabolas y = ax2 + bx + c
Parabolas y = ax2 + bx + c
Graphing
• We are now going to plot some quadratics to investigate their graphs.
• There are six questions on page 2 of your booklet that I would like you to plot.
On the i-pads
• Load up the geogebra i-pad app.• You can type in your equation in the
input bar along the bottom.• Zoom in or out as appropriate to get
a good view.• Make a copy of the sketch in your
booklets and label important points on the graph.
On a laptop
• Visit http://www.geogebra.org/cms/en/download/
• Click Java Webstart• Hopefully geogebra will load!• You can type in your equation in the input bar
along the bottom.• Zoom in or out as appropriate to get a good
view.• Print screen your graphs and copy into word.• Crop and label appropriately.
On a laptop
• Visit http://my.hrw.com/math06_07/nsmedia/tools/Graph_Calculator/graphCalc.html
• Or google online graphic calculator and click the top link.
• You can type in your equation in the input bar at the top.
• Zoom in or out as appropriate to get a good view.
• Print screen your graphs and copy into word.• Crop and label appropriately.
On a graphic calculator
• Press MENU• Choose GRAPH mode• Type your equation in on the first line.• Press SKETCH.• If you are having problems with the view
press V-WIN -> STD to reset the scales.• Make a copy of the sketch in your
booklets and label important points on the graph.