Math Course Help With Forms Of Parabola

7.5.3 Forms of parabola:

i) y² = -4ax, where a>0

in such parabolas,

• a) Focus is F(-a, 0)
• b) Vertex is O(0, 0)
• c) Equation of axis is; y = 0
• d) Equation of directrix is; x – a = 0
• ii) x² = 4ay, where a>0

In such parabolas;

• a) focus is F(0, a0
• b) Vertex is O(0, 0)
• c) Equation of axis is; x = 0
• d) Equation of directrix is; y+ a = 0
• iii) x² = -4ay, where a>0

in such parabolas;

• a) focus is F(0, -a)
• b) Vertex is O(0, 0)
• c) Equation of axis is; x = 0
• d) Equation of directrix is; y- a = 0

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