SOLUTION: Find the vertex, focus, and directrix of the parabola given by the equation. Sketch the graph. (2x − 8)2 = 8y − 56

Algebra ->  Graphs -> SOLUTION: Find the vertex, focus, and directrix of the parabola given by the equation. Sketch the graph. (2x − 8)2 = 8y − 56      Log On


   

Question 630371: Find the vertex, focus, and directrix of the parabola given by the equation. Sketch the graph.
(2x − 8)2 = 8y − 56
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

(2x - 8)^2 = 8y- 56

 2x^2 - 16x + 64 = 8y - 56

2(x-4)^2 -32 +64 = 8y - 56

2(x-4)^2 =  8y - 88

2(x-4)^2 = 8(y-11) 

(x-4)^2 = 4(y-11) 4p = 4, p = 1, V(4,11), F(4,12) directrix:  y = 10

y = (1/4)(x-4)^2 + 11   line of Symmetry is x = 4