SOLUTION: find the vertex, focus, and directrix of the parabola given by each equation. Sketch the graph. (x - 2)^2 = 8( y + 3)

Algebra ->  Length-and-distance -> SOLUTION: find the vertex, focus, and directrix of the parabola given by each equation. Sketch the graph. (x - 2)^2 = 8( y + 3)      Log On


   

Question 1052023: find the vertex, focus, and directrix of the parabola given by each equation. Sketch the graph.
(x - 2)^2 = 8( y + 3)
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The equation is about in the perfect form to answer those data questions.

8%28y%2B3%29=%28x-2%29%5E2, the same thing.
This is of a form, 4p%28y-k%29=%28x-h%29%5E2.


You should study the derivation of a general parabola equation for stated given directrix and focus, which you will find in these, as well as your textbook:
'
Deriving equation for parabola given focus and directrix
'
Same thing but differently oriented, and vertex not at the origin

Watch the signs very carefully in your work.