A1F Factoring to Graph


Alright, agents. Today, we're moving from the physical world into the paranormal. We've detected a series of 'spectral echoes'—parabolas like y=x^2+4 that appear on our scanners but have no physical source. They don't touch the ground. Our mission is to use the Spectral Key, the imaginary unit 'i', to find the source of these echoes in the hidden Spectral Plane

Here is the Video for this Quiz in case you get stuck and need a little more help. You can also email me at ssheridan@alpinedistrict.org.  Goal on quizzes is above an 80%.  Please redo it until you conquer! 
Remember you can also come into Battle Hour for help!

https://drive.google.com/file/d/1QXcXXMoOnGNJMaw5Bk7Kg5s-14KQIpz_/view

Outstanding work, agents! The hotspots have been mapped. Now for the most critical phase: containment. Your IDO device is now a terminal connected to the Spectral Containment Grid. Every correct solution you enter helps to power it up.

          
Find the Correct x and y-Intercept(s) for the following.  Enter just the LETTER of the card in the box. 
Equationx-Intercept(s)y-Intercept(s)
  
  
  
  
  



A B C  D 
E F.  No x-InterceptsG H  
I  J  K  L  
M N O  P 

Factor: 


y = (x + )(x + )
 

x-Intercept(s):  
 
Sketch the Graph:
Graph Intercept(s):

Sketch Graph:   

 
Find the quadratic with Roots at  and .

y= +  + 

        
Alright, this is the longer factoring.  Remember your route.  Use this picture to help you remember your route if you need.  Good luck!  


Factored form or x-Intercept Form

y = (x + ) (x + )

  


y-Intercept :  (, )

x-Intercepts:  (, )  (, )

     





 
Factor: 

Write in form y=  (x-3)(x+8)

y=

Graph the above Quadratic:
  

 
            

Given:   factor by pulling out the Greatest Common Factor First.

Factored Form or x-Intercept Form:

y = ( x + )(x + )

   



Graph all Intercepts that are on your Graph:  

Graph the above Graph. 
     








    Solve the following Algebraically.    
Step 1
 =   

Step 2
 =     

Step 3
 =    

Step 4
x =    


Solve the above Graphically.

Graphic Solution  (, )  

  

   
Find the Equation of the Function below.
Write in the format 
y= √ (x + ) + 
  





Factor: 


y = (x + )(x + )
 

x-Intercept(s):  

Sketch the Graph:
Graph Intercept(s):  

Sketch Graph:   

     

Factor:  


y = (x+ )(x+)
   




Graph the Intercepts that are on the graph.  
Graph the above graph.  MAKE SURE YOU START WITH DILATION, then REFLECTION, then TRANSFORMATIONS.
 

    
Factor:  

Factored form or x-intercept form: 

y = (  )(  )


x-intercepts:  (  ,  )  (  ,  )
y-intercept:  (  ,  )
      

Graph the x and y Intercept(s) that are on your graph:  

Graph the above graph: