Find the vertex, focus, and directrix for the following parabolas.


(a)
(y−7)2=20(x−4)\displaystyle {\left({y}-{7}\right)}^{{{2}}}={20}{\left({x}-{4}\right)}
vertex : 
focus : 
directrix:   


(b)
y2−8y=4x−42\displaystyle {y}^{{{2}}}-{8}{y}={4}{x}-{4}^{{{2}}} 

vertex : 
focus : 
directrix"   

 


(c)
(x−2)2=4(y−5)\displaystyle {\left({x}-{2}\right)}^{{{2}}}={4}{\left({y}-{5}\right)} 

vertex : 
focus : 
directrix"   

 


(d)
x2+40x=4y−28\displaystyle {x}^{{{2}}}+{40}{x}={4}{y}-{28} 

vertex : 
focus : 
directrix"   

 

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