From the first equation, we have:
t = x/2
Substituting this into the second equation:
y = -4(x/2)^2 + 2 = -2x^2 + 2
Thus, we have eliminated the parameter t and expressed y solely in terms of x.
Final answer: y = -2x^2 + 2
7) Eliminate the parameter for the following parametric equations. Show all your work. Simplify as far as you can.
x(t) = 2t
y(t) = -4t^2+2
3 answers
Nope, the bot screws up again.
the first part is right:
t = x/2
then in the 2nd equation:
y = -4t^2 + 2
= -4(t^2/4) + 2
= -t^2 + 2
the first part is right:
t = x/2
then in the 2nd equation:
y = -4t^2 + 2
= -4(t^2/4) + 2
= -t^2 + 2
My apologies, you are correct. Here is the corrected solution:
From the first equation, we have:
t = x/2
Substituting this into the second equation:
y = -4t^2 + 2
y = -4(x/2)^2 + 2
y = -4x^2/4 + 2
y = -x^2 + 2
Thus, we have eliminated the parameter t and expressed y solely in terms of x.
Final answer: y = -x^2 + 2
From the first equation, we have:
t = x/2
Substituting this into the second equation:
y = -4t^2 + 2
y = -4(x/2)^2 + 2
y = -4x^2/4 + 2
y = -x^2 + 2
Thus, we have eliminated the parameter t and expressed y solely in terms of x.
Final answer: y = -x^2 + 2
3 answers