Ask Question
23 April, 14:40

The equation of a parabola is given.

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

What is the equation of the directrix of the parabola?

+1
Answers (1)
  1. 23 April, 17:45
    0
    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
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “The equation of a parabola is given. y=1/2x^2+6x+24 What is the equation of the directrix of the parabola? ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers