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)

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)

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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) (Show Source): You can put this solution on YOUR website!
Solve the second equation for t:
y = 2t + 5
y - 5 = 2t

Substitute this expression for t into the first equation:

Simplify...

The 4's cancel:

This may be an acceptable form. Or we could square the y-5:

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