Algebra 2 1.5 Transformations of Linear/Absolute Functions

Write a new function after the given transformation from function f.

f(x) = x - 2

translation 5 units left

Write a new function after the given transformation from function f.

f(x) = x + 1

translation 4 units right

Write a new function after the given transformation from function f.

f(x) = |3x + 2|+ 4

translation 3 units down

Write a new function after the given transformation from function f.

f(x) = 4x − 5

translation 3 units up

Write a new function after the given transformation from function f.

f(x) = −3x + 7

reflection in the x-axis

Write a new function after the given transformation from function f.

ƒ(x) = $$\frac{1}{3}$$ x − 2

reflection in the x-axis

Write a new function after the given transformation from function f.

f(x) = |4x|— 6

reflection in the y-axis

Write a new function after the given transformation from function f.

f(x) = |3x − 5| + 3

reflection in the y-axis

Write a new function after the given transformation from function f.

f(x) = x + 3

vertical stretch by a factor of 4

Write a new function after the given transformation from function f.

f(x) = 4x + 3

vertical shrink by a factor of $$\frac{1}{3}$$