SOLUTION: Determine the vertex,focus,directrix,and axis of symmetry of the parabola with the given equation.
1) y^2-5x+12y=-16
2) 5x^2+30x+24y=51
guys,i really need your help on thi
Algebra.Com
Question 1041166: Determine the vertex,focus,directrix,and axis of symmetry of the parabola with the given equation.
1) y^2-5x+12y=-16
2) 5x^2+30x+24y=51
guys,i really need your help on this. thanks :)
Found 2 solutions by solver91311, josgarithmetic:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Complete the square on 
and rearrange into standard conics form:
\ =\ (y\ -\ k)^2)
Where )
is the vertex and 
is the distance from the vertex to the focus and from the vertex to the directrix. The term is squared so this parabola has a horizontal axis of symmetry and a vertical directrix.
\ =\ (y\ +\ 6)^2)
Hence, vertex at )
, 
so 
, directrix at 
, focus )
, and axis of symmetry 
You can do your own arithmetic to simplify the expressions for the directrix and the focus.
.
John
My calculator said it, I believe it, that settles it
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
These example instructive videos should help, but also study your textbook sections about this:
vertex at the origin - how to derive parabola equation
same idea but different orientation and vertex not at the origin
Study this one first; how to change from general form into standard form
RELATED QUESTIONS
Determine the vertex,focus,directrix and axis of symmetry of the parabola with the given... (answered by josgarithmetic)
Determine the vertex,focus,directrix and axis of symmetry of the parabola with the given... (answered by josgarithmetic)
Determine the vertex,focus,endpoints of Latus rectum, directrix and axis of symmetry of... (answered by greenestamps)
How do you find the vertex, value of p, axis of symmetry, focus, and directrix of each... (answered by josgarithmetic)
Determine the vertex,focus,and the directrix of the parabola with the given equation:... (answered by josgarithmetic)
name the direction vertex Axis of symmetry focus directrix of the parabola
y= -1/4x^2
(answered by lwsshak3)
what is the axis of symmetry, focus, and equation for directrix for the parabola x=1/16... (answered by ewatrrr)
What is the vertex, axis of symmetry, focus, and directrix of the parabola... (answered by MathLover1)
Determine the vertex, focus, directrix, and axis of symmetry of the parabola with the... (answered by MathLover1)