Math
posted by Robert .
Find the vertex focus directrix and axis of symmetry of each parabola y²–8x–6y–3=0

Math 
Reiny
y²–8x–6y–3=0
looks like a horizontal parabola, let's complete the square
y^2  6y + 9 = 8x+3 + 9
(y  3)^2 = 8x + 12
= 8(x + 3/2)
from that version you should be able to pick out the vertex as (3/2 , 3)
recall that in y^2 = 4px the focus is (p,0) and the directrix is y = p
So from you equation, 4p = 8, then p = 2
the focus is(23/2, 3), or (1/2 , 3)
and the directrix is ........
https://www.wolframalpha.com/input/?i=y%C2%B2%E2%80%938x%E2%80%936y%E2%80%933%3D0
Respond to this Question
Similar Questions

Pre Cal
write the equations of the parabola, the directrix, and the axis of symmetry. vertex: (4,2) focus: (4,6) if someone could explain how to do this problem then that would be great! thanks in advance! Formats to help you find the equation … 
algebra
6. Find the equation of each parabola described below. a) parabola with vertex (0,0) and the focus (0,7) b) parabola with focus (3,0) and directrix x=3 c) parabola with vertex (3,3) and directrix x=1 d) parabola with focus (2,1) … 
Math
Find the vertex, focus and directrix of the parabola. 4x  y^2  2y  33 = 0 y^2+2y+1 = 4x+33+1 (y+1)^2 = 4(x+8.5) vertex:(1,8.5) focus:(2,8.5) Directrix: x=0 Is this correct? 
Math
Find the vertex, focus, and directrix of the parabola. x^2  2x + 8y + 9 = 0 x^2  2x +1 = 8y + 9+ 1 (x1)^2 = 8(y1.25) vertex:(1,1.25) focus:(1,.75) directrix: y=3.25 My teacher said that I have sign errors. I do not know where … 
maths
Given that the equation of the parabola is 5y^2 + 24x = 0. Find (1)The Axis and vertex of the parabola (ii)The focus and the directrix (iii)The distance from the directrix to the focus 
pre cal
What is the center of the conic whose equation is x^2 + 2y^2  6x + 8y = 0 2.Which one of the following equations represents a hyperbola? 
algebra
Can someone check my answers please and if Im wrong please explain. 1) graph 4x^2+4y^2=64. what are the domain and range? 
Vertex, Focus, & Directrix of Parabolas
Find the Vertex, Focus, and Directrix of the parabola: x^2 12x48y+276=0 Thank you so much <3 
Algebra
An engineer designs a satellite dish with a parabolic cross section. The dish is 10 ft wide at the opening, and the focus is placed 8 ft from the vertex. a) Position a coordinate system with the origin at the vertex and the … 
precallcuslus
can you check my work and explain the last question because I do not uderstand. Explain what each of the following represents, and how y = a(x  h)2 + k, a ≠ 0 and (x  h)2 = 4p(y  k), p ≠ 0 are equivalent. The equation (x  h)2 …