Function Flyer Activity

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IT'S PARABOLIC!!

Access the Function Flyer* activity and work on the problems below.

Tips for using the function flyer for quadratic functions:

1) Input the quadratic in STANDARD FORM as: 

1*x^2 + 0*x + 0

this will give you the base function y = x2 with all the required coefficients to practice the "parabolic slide"

 

2) Change the STEP setting for the first slider to 0.25 or 1/4 (as shown at right).  N.B. The first slider represents the leading coefficient "a" for your quadratic function in standard form.

 

3) Answer the following questions:

a) What happens when you slide the various sliders?

b) What happens when the leading coefficient flips from positive to negative?

c) What happens when the leading coefficient is zero?

d) What happens when you change the 2nd coefficient?  the third (or constant)?

e) What other observations can you make? 

 

4) Input the quadratic in VERTEX FORM as: 

1*(x-0)^2 + 0

As with STANDARD FORM, this will give you the base function y = x2 with all the required coefficients to practice the "parabolic slide"

PLAY with the coefficients

 

5) Answer the following questions:

a) How do the sliders perform similar to standard form?

b) How are they different?

c) Why do you think this is called VERTEX FORM?

 

Have Fun!  It's Parabolic!!

 

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