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
x
^{2}
= 2x = 6y - 11 = 0
5y
^{2}
+ 10y + 2x + 2 = 0
4y
^{2}
+ 4y - 4x - 16 = 0
4y
^{2}
- 4y - 4x + 24 = 0
y = x
^{2}
+ 4x + 3
y = x
^{2}
+ 6x + 10
x
^{2}
- 4x - 2y = 0
x
^{2}
- y - 2 = 0
x
^{2}
+ 2x + 2y + 7 = 0
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