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Help 1,2

 Mar 20, 2018
 #1
avatar+100456 
+1

1)

 

y  =  (1/12)x^2   multiply both sides by 12

 

12y  = x^2

 

And we have the form

 

4py  =  x^2

4p  = 12

p  =3

 

The vertex  is  (0,0) ...the parabola turns upward   

The focus  is  ( 0, 0 + p )   =   (0, 3)

The directrix  is  y  =  -3

Third answer

 

 

 

cool cool cool

 Mar 20, 2018
 #2
avatar+100456 
+1

2)

 

This parabola opens to the left  because the directrix  lies to the right of the vertex

 

So  we have the form

 

-4px  = y^2     ⇒   p   = 4.75

-4(4.75)x = y^2

-19x = y^2       divide both sides by  (-19)

 

x  =  (-1/19) y^2

 

 

cool cool cool

 Mar 20, 2018

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