Transformations of Functions
Author: Jamie Mulholland

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Move Me

\rightarrow

\rightarrow

\rightarrow

\rightarrow

Function:

Sample
Points:

Original

Transformed

c

d

a

b

y =   d\cdot f( c \cdot(x- a ) ) + b

f(x) = sin(x)
B = Point(f)
A = Point(f)
d = 1 (slider from -5 to 5, step 0.1)
a = 1 (slider from -5 to 5, step 0.1)
b = 0 (slider from -5 to 5, step 0.1)
c = 1 (slider from -5 to 5, step 0.5)
g(x) = d * f(c * (x - a)) + b
xA: x(A)
A': (xA / c + a, g(xA / c + a))
T1: "A' = " + A'
xB: x(B)
B': (xB / c + a, g(xB / c + a))
T2: "B' = " + B'
T5: "f(x) =" + f
T6: "= " + g
T10: "B = (" + xB + ", " + (f(xB)) + ")"
T9: "A = (" + xA + ", " + (f(xA)) + ")"