SOLUTION: a)Write the equation of the parabola in standard form: {{{y^2+6x-4y-9=0}}} b)Write the equation of the parabola in standard form: {{{y^2+10x+10y-5=0}}}

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: a)Write the equation of the parabola in standard form: {{{y^2+6x-4y-9=0}}} b)Write the equation of the parabola in standard form: {{{y^2+10x+10y-5=0}}}       Log On


   

Question 951869: a)Write the equation of the parabola in standard form: y%5E2%2B6x-4y-9=0
b)Write the equation of the parabola in standard form: y%5E2%2B10x%2B10y-5=0
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
a)Write the equation of the parabola in standard form: y%5E2%2B6x-4y-9=0
The standard form of a parabola's equation is generally expressed:
y=ax%5E2%2Bbx%2Bc
so, y%5E2%2B6x-4y-9=0 will be:
y%5E2-4y=-6x%2B9
%28y%5E2-4y%2B_%29-_=-6x%2B9...complete square
%28y%5E2-4y%2B2%5E2%29-2%5E2=-6x%2B9
%28y-2%29%5E2-4=-6x%2B9
%28y-2%29%5E2=-6x%2B9%2B4
sqrt%28%28y-2%29%5E2%29=sqrt%28-6x%2B13%29
y-2=sqrt%28-6x%2B13%29
highlight%28y=%28_%2B-sqrt%28-6x%2B13%29%29%2B2%29-the equation of the parabola in standard form



b)Write the equation of the parabola in standard form: y%5E2%2B10x%2B10y-5=0

y%5E2%2B10x%2B10y-5=0
y%5E2%2B10y=-10x%2B5
%28y%5E2%2B10y%2B_%29-_=-10x%2B5
%28y%5E2%2B10y%2B5%5E2%29-%285%5E2%29=-10x%2B5
%28y%2B5%29%5E2-25=-10x%2B5
%28y%2B5%29%5E2=-10x%2B5%2B25
sqrt%28%28y%2B5%29%5E2%29=sqrt%28-10x%2B30%29
y%2B5=sqrt%28-10x%2B30%29
highlight%28y=_%2B-sqrt%28-10x%2B30%29-5%29