Polynomials
Conversions
Transformations
Misc
Final Jeopardy
100

What is the degree of the polynomial?

  g(x)=(x+5) (x-8)^3 

4

100

What is the name of the form shown below?

 y=(x+2)(x+8) 

Factor Form 

100

What is the name of the form shown below? 

 y=a(x+h)^2-k 

Vertex Form 

100

Daily Double!

A polynomial with two terms 

Binomial

200

What are all the zeros of the polynomial?


 (-3,0) (2,0) (5,0) 

200

This equation below is given in standard form, what is the y-intercept?


 y=x^2+8x-9 

The C term -  (0,-9) 

200

Which variable is responsible for stretches, compressions and reflections of a graph? 

 y=a(x+h)-k 

a

200

What is the degree of the polynomial?

f(x)= 3x^5+x^3+2x-6

 

5

300

Draw it!

If we have a polynomial that is positive and has a degree of 5, what shape would the polynomial be?

300

The equation below is given in factor form, what are the x-intercepts?


 y=(x-5)(x+7) 

 (5,0) (-7,0) 

300

Daily Double!

The equation below is given in vertex form, what is the vertex?

  y=3(x+4)^2-5 

 (-4,-5) 

300

True or False 

If the h-value in the equation is positive, the h-value in the vertex is negative.

True, the h-values always switch signs!

300

Write it on the whiteboard!

Find the A-value given a point and an equation. 


 (5,-14)  

 y=A (x+2)(x-4)^3 

 A=-2 

400

If a polynomial graph curves through the x- axis, what is the exponent on the factor  (x+1)?   

 f(x)=(x+3)(x+1)^(?)(x-2)^2 


3

400
Fill in the blank: 

When converting from standard form to factor form, we must find the factors of ___ that add to get to ___. 

 

C, B 

400

Write it on the whiteboard!

What is the name of the parent function shown below and what is the equation? Write it on the whiteboard! 


Square Root  f(x)=sqrt(x) 

400

Write it on the white board!

If I have a linear function with a stretch of  1/3  and moves 6 spaces up, what would be equation look like?

 y=1/3x+6 

500

Daily Double!

If the graph touches the x-axis and bounces back, does the graph have a single, double, or triple root?

double 

500

When converting from standard from to vertex form, what number do you always divide the B term (middle term) by?

2

500

Comparing the red graph to the black graph, describe the transformations of the red graph. 

right 8, negative (a-value/function/equation/graph)

500

Which conversion is NOT possible ? 

A. Standard Form to Factor Form (SF---FF)

B. Vertex Form to Standard Form (VF---SF)

C. Factor Form to Vertex Form (FF---VF)

C. Factor Form to Vertex Form, you must convert to Standard Form first!

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A. Standard Form to Factor Form (SF---FF) uses the area model 

B. Vertex Form to Standard Form (VF---SF) uses expanding and distribution 

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