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

Mathematical Equivalence

ON

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

f(x) = x + 1

translation 4 units right

Mathematical Equivalence

ON

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

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

translation 3 units down

• |3x + 2| + 1

• |3x + 6|

• |3x + 2| - 1

• 3x + 5

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

f(x) = 4x − 5

translation 3 units up

Mathematical Equivalence

ON

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

f(x) = −3x + 7

reflection in the x-axis

Mathematical Equivalence

ON

Mathematical Equivalence

ON

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

f(x) = |4x|— 6

reflection in the y-axis

• |-4x| - 6

• |4x - 6|

• -|4x| + 6

• 4x + 6

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

f(x) = |3x − 5| + 3

reflection in the y-axis

• 3 - |3x - 5|

• -3 + |3x - 5|

• |-3x - 5| + 3

• -3 - |3x - 5|

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

f(x) = x + 3

vertical stretch by a factor of 4

Mathematical Equivalence

ON

Mathematical Equivalence

ON