Transformations of Points
• f(x + a)
0
(1 , 4)
(3, 1)
Imagine a function where y = f(x), which hasa root at 0, and points (1 , 4) and (3 , 1) lie on the curve:
f(x) f(x + 1)
-1
(0 , 4)
(2, 1)
Transformations of Points
• f(x – a)
0
(1 , 4)
(3, 1)
Imagine a function where y = f(x), which hasa root at 0, and points (1 , 4) and (3 , 1) lie on the curve:
f(x) f(x - 1)
1
(2 , 4)
(4, 1)
Transformations of Points
• f(x) - a
0
(1 , 4)
(3, 1)
Imagine a function where y = f(x), which hasa root at 0, and points (1 , 4) and (3 , 1) lie on the curve:
f(x) f(x) - 4
-4
(1 , 0)
(3, -3)
Transformations of Points
• nf(x)
0
(1 , 4)
(3, 1)
Imagine a function where y = f(x), which hasa root at 0, and points (1 , 4) and (3 , 1) lie on the curve:
f(x) 2f(x)
0
(1 , 8)
(3, 2)
Transformations of Points
• f(nx)
0
(1 , 4)
(3, 1)
Imagine a function where y = f(x), which hasa root at 0, and points (1 , 4) and (3 , 1) lie on the curve:
f(x) f(2x)
0
(0.5 , 4)
(1.5, 1)
Transformations of Points
• -f(x)
0
(1 , 4)
(3, 1)
Imagine a function where y = f(x), which hasa root at 0, and points (1 , 4) and (3 , 1) lie on the curve:
f(x) -f(x)
0
(1 , -4)
(3, -1)
Transformations of Points
• f(-x)
0
(1 , 4)
(3, 1)
Imagine a function where y = f(x), which hasa root at 0, and points (1 , 4) and (3 , 1) lie on the curve:
f(x) f(-x)0
(-1 , 4)
(-3, 1)