Question

Show that -4x² - 4xy +y^2+ 8x-6y +5=0 represents
parabola. Find the equation
of
axis, co-ordinates of vertex and focus and equation of
directrix
of the parabola


​

Answer 1

Step-by-step explanation:

Obviously, the axis of symmetry is a horizontal line ( a line perpendicular to y-axis). Also, the focus lies to the right of the vertex so the parabola will open up rightward. a=6−2=4 as y coordinates are the same. (y−3)2=16(x−2) is the equation of the parabola.