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Polynomial Transformations
subtraction
multiplication
division
story problems
100

The function f(x)=x3 transforms into a new function with the equation g(x)=x3-9.  Describe the transformation of the function.

The function translates down 9 times.

100
964-10
What is 954
100
2 x 9
What is 18
100
25 ÷1
What is 25
100
I have 16 pens. You have 12 pens. How many do we have in all?
What is 28 pens
200

The function f(x)=x3 transforms into a new function with the equation g(x)=(x-1)3. Describe the transformation.

The function translates right 1 time.

200
82-9
What is 73
200
4 x 9
What is 36
200
30 ÷6
What is 5
200
You have 28 toy cars. I have 46 toy cars. How many more cars do you need to have the same amount that I do?
What is 18 more cars
300

The function f(x)=x3 transforms into a new function with the equation g(x)=(x+2)3+5. Describe the transformation.

The function translates left 2 times and up 5 times.

300
236-8
What is 228
300
6 squared
What is 36
300
24 ÷6
What is 4
300
Thirteen people are in our math group. How many hands are there? How many fingers?
What is 26 hands and 130 fingers.
400

The function f(x)=x3 transforms into a new function with the equation g(x)=-(x+4)3-2. Describe the transformation.

The function reflects in the x-axis, translates left 4 times, and translates down twice.

400
420-22
What is 318
400
18 x 5
What is 90
400
72 ÷8
What is 9
400
I have 52 toy car wheels. How many cars can I build with these wheels?
What is 13 cars
500
The function f(x)=x3 is reflected over the x-axis, translated down 3 times and translated left 4 times. What is the new function g(x)?

g(x)=-(x+4)3-3

500
618-329
What is 289
500
24 x 7
What is 168
500
56 ÷7
What is 8
500
I baked 2 dozen cupcakes. Each cupcake had 3 cherries on top. I ate the cherries off 2 of the cupcakes. How many cherries are left?
What is 30 cherries