Describe the transformation that map the function y = 2x on each of the following functions.
Problem 1 :
y = 2x - 2
Problem 2 :
y = 2x+3
Problem 3 :
y = 4x
Problem 4 :
y = 3(2x - 1) + 1
Describe the transformation that map into the function
y = 8x
on to each function.
Problem 5 :
y = (1/2) 8x
Problem 6 :
y = -8x
Problem 7 :
y = 8-2x
Using the parent graph of f(x) = 4x, describe the transformation of each function.
Problem 8 :
f(x) = -2(4x + 3) - 5
Problem 9 :
f(x) = (42x + 6) + 2
Problem 10 :
f(x) = (4-3x + 12) + 1
Problem 11 :
f(x) = (4(1/2)x - 2) + 3
Problem 12 :
f(x) = (1/3)(4(1/3)x + 3) - 4
1) shifting 2 units down
2) shifting 3 units left
3) horizontal compression by the factor of 2.
4) vertical stretch with the factor of 3.
No reflection
Translation of 1 unit right and 1 unit up.
5) vertical compression by the factor of 1/2.
6) reflection across x-axis.
7) horizontal compression with reflection across y-axis.
8) Vertical stretch of factor 2 ==> reflection across x-axis => move left 3 units and down 5 units.
9) Horizontal compression of 2 units. No reflection. Move horizontally 6 units left and 2 unit up.
10) Horizontal compression of 3 units. Reflection across y-axis. Move horizontally 12 units left and 1 unit up.
11) Horizontal stretch of 1/2 units. No reflection. Move horizontally 2 units right and 3 units up.
12) Horizontal stretch of 1/3 units. No reflection. Move horizontally 3 units left and 4 units down.
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM