Exercise 2

For each given equation of a parabola, find the vertex, focus, and directrix. Then on a separate sheet of paper, sketch the graph of the parabola.

 

Given Equation

Vertex

Focus

Directrix (in y = __ form)

(x + 2)2 = -6 (y - 1)
     

(y - 3)2 = -20 (x + 2)
     

(x - 1)2 - 2 (y + 1) = 0
     

(y + 1)2 = 12x
     

(x + 3)2 = - y
     

(y - 4)2 = 32 (x + 1)
     

(x - 7)2 = -18 (y - 3)
     

0 = (y - 1)2 - 16 (x + 4)
     

y = x2
     

x = y2
     

 

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