al E _edit Find the vertex, focus, and directrix of the parabola. Then sketch th

Question

al E _edit Find the vertex, focus, and directrix of the parabola. Then sketch the parabola. x-5)2+12(y +3) - o vertex (x5, 3 focus x 1,-6x ed 2326 directrix Tools Actions Clear All 1. Select an object from the Tools menu to the left. Delete Fill 2. Enter coordinates in Object Properties below, or use the mouse 100 67 to place and move objects. To enter a fractional or decimal coordinate, use Object Properties No ot 3 PM l View our tutorial videos Seloct a or t e Help ystem WebAssign graphing tool

Explanation / Answer

( x-5)^2 + 12 (y +3 ) = 0

( x- 5)^2 = -12 ( y + 3)

vertex = ( 5 , -3 )

focal length = 4p = 12

p = 3

focus = ( 5 , -3 -3 )

= ( 5 , -6 )

directrix = y=0

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