Mrs. Kelley's Module 5 Review - Algebra 1

Translated Function

1

Write the translated function g(x):

f(x) = 5x; shifts 3 units down

g(x) = 5x - 3

2

Write the translated function g(x):

f(x) = x + 8; shifts 4 up

g(x) = x + 12

3

Write the translated function g(x):

f(x) = x - 4; shifts 2 units right

g(x) = x - 6

4

Write the translated function g(x):

f(x) = x + 5; shifts 10 units left

g(x) = x + 15

5

Write the translated function g(x):

f(x) = 5x + 3; shifts 3 units right

g(x) = 5x - 12

Reflection

1

g(x) is a reflection of f(x) across, find g(x).

f(x) = 9x; reflection across the x-axis

g(x) = -9x

2

g(x) is a reflection of f(x) across, find g(x).

f(x) = 3x + 4; reflection across the y-axis

g(x) = -3x + 4

3

g(x) is a reflection of f(x) across, find g(x).

f(x) = x - 3; reflection across the x-axis

g(x) = -x + 3

4

g(x) is a reflection of f(x) across, find g(x).

f(x) = 4x - 10; reflection across the y-axis

g(x) = -4x - 10

5

g(x) is a reflection of f(x) across, find g(x).

f(x) = 7x + 13; reflection across the x-axis

g(x) = -7x - 13

Rotation

1

Write a transformed function g(x) that rotates from f(x) as described:

f(x) = 2x; write a transformed function that rotates clockwise

Ex:  g(x) = x

(lower slope - same y-intercept)

2

Write a transformed function g(x) that rotates from f(x) as described:

f(x) = 2x; write a transformed function that rotates counterclockwise

Ex: g(x) = 3x

(higher slope - same y-intercept)

3

Write a transformed function g(x) that rotates from f(x) as described:

f(x) = 4x + 8; write a transformed function that rotates clockwise

Ex: g(x) = 2x + 8

4

Write a transformed function g(x) that rotates from f(x) as described:

f(x) = 8x - 3; write a transformed function that rotates counterclockwise

Ex: g(x) = 10x - 3

5

Write a transformed function g(x) that rotates from f(x) as described:

f(x) = 1/2 x + 3.5 ; write a transformed function that rotates clockwise

ex: g(x) = 1/4 x + 3.5

Arithmetic Sequences

1

What is the common difference of the following sequence: 1,3,5,7...

d = 2

2

What is the common difference 7,4,1,...

d = -3

3

Given 8,15,22,... Write the explicit formula.

What is an=7n+1

4

Given an=6-7n, what are the first 5 terms?

What is -1,-8, -15,-22,-29

5

Given: 7,13,19,... Write the explicit formula and find a12

What is an=6n+1, 73

Shrinking/Stretching

1

What does the transformation do to the following function?

f(x) is transformed to 3/8 f(x)

shrink vertically