transformations of polynomial functions in the form
DESCRIPTION
1. We need to decide on some key points to track for each power function…. X = {-2, -1, 0, 1, 2} Return to your original Power Function activity, and label the exact points for these given x values… memorize themTRANSCRIPT
Transformations of Polynomial Functions in the form
In this section, we will investigate the roles of the parameters a,k,d and c in
the polynomial function of the form
y = a[k(x – d)]n + c The values of n will be limited to 2, 3,and 4..
(This is good news….)
1. We need to decide on some key points to track for each
power function….X = {-2, -1, 0, 1, 2}
Return to your original Power Function activity, and label the exact points for these given x values… memorize them
y = af[k(x – p)]n + qq: Vertical displacement:
+q: up, -q: downp: Horizontal shift:
-p: right, +p: leftk: Horizontal stretch or compress
multiply the “x’s” by 1 / k a: Vertical stretch or compress
multiply the “y’s” by a
“n” determines the degree of the Power Function…
We are going to execute the manipulations from left to right
(like reading a book)
Special Note: If there is a horizontal translation, the coefficient for “x” must be factored to “1”.
y = (4x – 8)3 should be written as
y = [4(x – 2)]3
Memorize the simple graphs…
(0,0)
(2,4)
(1,1)
y= x2
Memorize the simple graphs…
(0,0)
(2,8)
(1,1)
y= x3
Memorize the simple graphs…
(0,0)
(2,16)
(1,1)
y= x4
