Exercise 4

Find the vertex, focus, and directrix, and graph a parabola by first completing the square, given a quadratic equation.

Given Equation

Vertex

Focus

Directrix

x2 = 2x = 6y - 11 = 0
     

5y2 + 10y + 2x + 2 = 0
     

4y2 + 4y - 4x - 16 = 0
     

4y2 - 4y - 4x + 24 = 0
     

y = x2 + 4x + 3
     

y = x2 + 6x + 10
     

x2 - 4x - 2y = 0
     

x2 - y - 2 = 0
     

x2 + 2x + 2y + 7 = 0
     

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