SOLUTION: Determine the vertex, focus and directrix of the parabola: y^2-6x-8x=-17

Question 686184: Determine the vertex, focus and directrix of the parabola:

y^2-6x-8x=-17
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Determine the vertex, focus and directrix of the parabola:
y^2-6x-8x=-17
y^2-14x=-17
y^2=14x-17
y^2=14(x-17/14)
This is a parabola that opens rightwards.
Its standard form of equation: (y-k)^2=4p(x-h), (h,k)=(x,y) coordinates of the vertex
For given parabola:
vertex: (17/14,0)
axis of symmetry: y=0 or x-axis
4p=14
p=14/4=7/2=49/14
focus: (66/14,0) (p distance to the right of vertex on the axis of symmetry)
directrix: y=-32/14 (p distance to the left of vertex on the axis of symmetry)
RELATED QUESTIONS
parabola,x^2 +6x -y +11 =0 find the vertex,focus and directrix of the... (answered by lwsshak3)

What is the vertex, axis of symmetry, focus, and directrix of the parabola... (answered by MathLover1)

Find the vertex, focus, and directrix of the parabola with equation... (answered by Edwin McCravy)

Find the latus rectum, vertex and directrix of the parabola... (answered by MathLover1,josgarithmetic,MathTherapy)

x^2+8x-y+6=0 Find the vertex, focus, and directrix of the parabola. Sketch the... (answered by Nate)

Find the vertex, focus, and directrix of the parabola. Graph the equation. y^2 - 2y =... (answered by lwsshak3)

Why are the vertex, directrix, and focus of the parabola... (answered by lynnlo,stanbon)

Sketch the graph of the parabola, determine the vertex, focus, axis and the directrix:... (answered by lwsshak3)

Identify the vertex, focus, and directrix of the parabola.... (answered by stanbon)