F.BF.3 Understanding the transformations of quadratic...

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F.BF.3 Understanding the transformations of quadratic functions. F.BF.3 Understanding the transformations of quadratic functions. F.BF.3 Understanding the transformations of quadratic functions. F.BF.3 Understanding the transformations of quadratic functions.

Transcript of F.BF.3 Understanding the transformations of quadratic...

Page 1: F.BF.3 Understanding the transformations of quadratic ...hs.pequannock.org/ourpages/auto/2012/9/14/47206582/4_1...2012/09/14  · F.BF.3 Understanding the transformations of quadratic

F.BF.3 Understanding the transformations of quadratic functions. F.BF.3 Understanding the transformations of quadratic functions.

F.BF.3 Understanding the transformations of quadratic functions. F.BF.3 Understanding the transformations of quadratic functions.

Page 2: F.BF.3 Understanding the transformations of quadratic ...hs.pequannock.org/ourpages/auto/2012/9/14/47206582/4_1...2012/09/14  · F.BF.3 Understanding the transformations of quadratic

F.BF.3 Understanding the transformations of quadratic functions.

a = 1 a = ­1

F.BF.3 Understanding the transformations of quadratic functions.

F.BF.3 Understanding the transformations of quadratic functions.

h:

k:

Vertex: 

a:Max or min?

Domain:

Range:

F.BF.3 Understanding the transformations of quadratic functions.

Page 3: F.BF.3 Understanding the transformations of quadratic ...hs.pequannock.org/ourpages/auto/2012/9/14/47206582/4_1...2012/09/14  · F.BF.3 Understanding the transformations of quadratic

F.BF.3 Understanding the transformations of quadratic functions.

Vertex:

a:

max/min?

F.BF.3 Understanding the transformations of quadratic functions.

F.BF.3 Understanding the transformations of quadratic functions.

Find the vertex.

Plug into formula.

f(x) = a(x ­ 4)2+3

Choose another point on the path like (9,4) andsubstitute for x and y.

Solve for a. 4 = a(9 ­ 4)2+3

F.BF.3 Understanding the transformations of quadratic functions.

Page 4: F.BF.3 Understanding the transformations of quadratic ...hs.pequannock.org/ourpages/auto/2012/9/14/47206582/4_1...2012/09/14  · F.BF.3 Understanding the transformations of quadratic

F.BF.3 Understanding the transformations of quadratic functions. F.BF.3 Understanding the transformations of quadratic functions.

F.BF.3 Understanding the transformations of quadratic functions. F.BF.3 Understanding the transformations of quadratic functions.