SOLUTION: Please help me solve this problem that I'm having difficulty solving. Thank you so much for your immediate assistance. smccollough1 4x^2+4y^2+4y=15 Please include the followi

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Please help me solve this problem that I'm having difficulty solving. Thank you so much for your immediate assistance. smccollough1 4x^2+4y^2+4y=15 Please include the followi      Log On


   

Question 43680This question is from textbook College Algebra
: Please help me solve this problem that I'm having difficulty solving. Thank you so much for your immediate assistance. smccollough1
4x^2+4y^2+4y=15
Please include the following:
a) equation
b) opens up and down, right or left
c) vertex
d) axis of symmetry
e) x-intercept (if they exist)
f) y-intercept (if they exist)
g) table of values
h) graph
 This question is from textbook College Algebra

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
4x%5E2+%2B+4y%5E2+%2B+4y+=+15
4%28x%5E2+%2B+0x%29+%2B+4%28y%5E2+%2B+y%29+=+15
4%28x+%2B+0%29%5E2+%2B+4%28y+%2B+%281%2F2%29%29%5E2+=+15+%2B+1
4%28x+%2B+0%29%5E2+%2B+4%28y+%2B+%281%2F2%29%29%5E2+=+16
%28x+%2B+0%29%5E2+%2B+%28y+%2B+%281%2F2%29%29%5E2+=+4
a) This is a circle.
b) Does not open.
c) V(0,-0.5)
d) Axis of Symmetry: y=-0.5 and x=0
e) X-Intercept
%28x+%2B+0%29%5E2+%2B+%28y+%2B+%281%2F2%29%29%5E2+=+4
%28x+%2B+0%29%5E2+%2B+%280+%2B+%281%2F2%29%29%5E2+=+4
x%5E2+%2B+%281%2F4%29+=+4
x%5E2+=+15%2F4
x+=+%2B-+sqrt%2815%29%2F2
f) Y-Intercept
%280+%2B+0%29%5E2+%2B+%28y+%2B+%281%2F2%29%29%5E2+=+4
%28y+%2B+%281%2F2%29%29%5E2+=+4
y+%2B+%281%2F2%29+=+%2B-+2
y+=+-0.5+%2B-+2
You can fill in the table of values.
h) graph