SOLUTION: Find an equation in x and y whose graph contains the points on the curve C. x = 4t2 − 6, y = 2t + 5; t in "R" (Real)

Algebra ->  Equations -> SOLUTION: Find an equation in x and y whose graph contains the points on the curve C. x = 4t2 − 6, y = 2t + 5; t in "R" (Real)      Log On


   

Question 818715: Find an equation in x and y whose graph contains the points on the curve C.
x = 4t2 − 6, y = 2t + 5; t in "R" (Real)
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the second equation for t:
y = 2t + 5
y - 5 = 2t
%28y-5%29%2F2+=+t
Substitute this expression for t into the first equation:
x+=+4%28%28y-5%29%2F2%29%5E2-6
Simplify...
x+=+4%28%28y-5%29%5E2%2F2%5E2%29-6
x+=+4%28%28y-5%29%5E2%2F4%29-6
The 4's cancel:
x+=+%28y-5%29%5E2-6
This may be an acceptable form. Or we could square the y-5:
x+=+y%5E2-10y%2B25-6
x+=+y%5E2-10y%2B19