SOLUTION: What is the focus, vertex and directrix of the parabola
-2x^2+16x+24y-224=0....
Algebra.Com
Question 766197: What is the focus, vertex and directrix of the parabola
-2x^2+16x+24y-224=0....
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
What is the focus, vertex and directrix of the parabola
-2x^2+16x+24y-224=0..
complete the square
-2(x^2-8x+16)+24y=224-32
-2(x-4)^2=-24y+192
divide by -2
(x-4)^2=12y-96
(x-4)^2=12(y-8)
This is a parabola that opens upward.
Its basic form of equation: (x-h)^2=4p(y-k), (h,k)+(x,y) coordinates of the vertex
For given parabola:
vertex: (4,8)
axis of symmetry: x=4
4p=12
p=3
focus: (4,11) (p-units above vertex on the axis of symmetry)
directrix: y=5 (p-units below vertex on the axis of symmetry)
RELATED QUESTIONS
PARABOLA: what's the vertex, focus, directrix, latus rectum and graph of the... (answered by solver91311)
What is the focus, vertex, axis of symmetry and directrix of the parabola equation... (answered by lwsshak3)
Find the vertex,focus,and directrix in the given parabola equation.:... (answered by josgarithmetic)
Determine the vertex,focus,and the directrix of the parabola with the given equation:... (answered by josgarithmetic)
Give the vertex, focus, and directrix of the parabola... (answered by lwsshak3)
What is the vertex, axis of symmetry, focus, and directrix of the parabola... (answered by MathLover1)
What are the focus and the directrix of the graph of x = 1/24y^2?
focus (0, –6),... (answered by lwsshak3)
What are the focus and the directrix of the graph of x = 1/24y^2?
focus (0, –6),... (answered by jsmallt9)
parabola,x^2 +6x -y +11 =0
find the vertex,focus and directrix of the... (answered by lwsshak3)