3 years ago

The equation of a parabola is given.

Mathematics

1 answer:

BlackZzzverrR [31]3 years ago

3 0

Answer:

Directrix equation: y = 11/2

y = k - c = 6 - 1/2 = 11/2

Step-by-step explanation:

y=(1/2) x^2+6x+24

factor this

y = (1/2)* [ x^2 + 12x ] + 24

y = (1/2)* [ x^2 + 12x + 36 - 36] + 24

y = (1/2)* [ (x + 6)^2 - 36] + 24

y = (1/2)* (x + 6)^2 - 18 + 24

y = (1/2)* (x + 6)^2 + 6

y - 6 = (1/2)* (x + 6)^2

2*(y - 6) = (x + 6)^2

4c = 2, (h, k) = (-6, 6)

c = 1/2

Directrix equation: y = k - c = 6 - 1/2 = 11/2

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