i Find the equation of the parabola described below. Find the two point the latu

Question

i Find the equation of the parabola described below. Find the two point the latus rectum, and graph the equation. focus at (-3,-6), directrix the line x 1 Choose the correct answer below tu ntO A. (y+6 8(x+ 1) O B. (x+ 1) 8(y +6) Oc. (x + 1)2 =-8(y + 6) O D. (y +6)8(x+ 1) The two points that define the latus rectum are (Type ordered pairs. Use a comma to separate answers as needed) Suc Use the graphing tool to graph the parabola. Click to enlarge graph dia Li ions Tools Click the graph choose a toot in the palette and follow the instructions t Type here to search

Explanation / Answer

focue (-3,-6) , directrix x=1

focus (h+ 1/4a , k) =-3,-6

And directrix , h- 1/4a = 1

So we have h + 1/(4a) =-3, h - 1/(4a)=1

h= -1 , k =-6, a=-1/8

So the equation is

x = (-1/8)(y+6)2-1

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