Need answer check pls. Find the rectAngular equation for the plane curve by parametric equAtions. X=t +4 , y= t^2
Sorry I got y=(x^2 -4)^2
To find the rectangular equation for the plane curve given by the parametric equations x = t + 4 and y = t^2, we need to eliminate the parameter t.
We have two equations:
x = t + 4
y = t^2
To eliminate t, we can solve the first equation for t and substitute it into the second equation.
From the first equation, we can isolate t by subtracting 4 from both sides:
t = x - 4
Now substitute this value of t into the second equation:
y = (x - 4)^2
Therefore, the rectangular equation for the plane curve is y = (x - 4)^2.