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Arithmetic/ Geometric Sequences

100

Find the next term in the arithmetic sequence:

          2,5,8,11,____   

14 (Add 3)

200

 Find the 10th term in the arithmetic sequence:

        4,7,10,13   

31

300

Find the 6th term of the geometric sequence: 

        3,6,9,12,24....  

96

400

Write an equation for the geometric sequence with the first term:

         5,15, 45, 135

an=5(3)^n-1

500

Find n if: 3*2^n-1 = 96

 6

Function transformations

100

Describe the transformation: G(x) = x²+5

up 5

200

Describe the transformation: f(x)= (x-4)² - 6

right 4, down 6

300

Describe the transformation: g(x)=3(x−1)²+2

vertical stretch by 3, right 1, up 2

400

Write a function for f(x) that contains the following: 

• reflected over the x-axis

• shifted right 3 units

• shifted down 4 units           

g(x)=-(x-3)² -4

500

Describe the transformation: 

        g(x)= -2(⅓(x+4))²+1   

 Answer:

 Left 4 units

Horizontal stretch by a factor of 3

Reflect over the x-axis

Vertical stretch by a factor of 2

Up 1 unit

Inverse functions

100

What is the inverse of f(x)=x+6

x-6

200

What is the inverse of f(x)=2x-3  

x+3/2

                                                                        2

300

Find the inverse of  f(x)=x²   where x≥0

√x

400

Are f(x)=3x+1 and g(x)= x-1/3   inverses?

Yes!

500

Find the inverse of f(x)= x-2/x+5

-2-5x/x-1