Eliminate the parameter and write the corresponding rectangular equation whose graph represents the curve. $x = \sqrt { t }$ $y = 4 - t$
A) $y = 4 - x$
B) $y = 4 + x$
C) $y = 4 + x ^ { 2 }$
D) $y = 4 - x ^ { 2 }$
E) $y = \sqrt { x }$

Question

Eliminate the parameter and write the corresponding rectangular equation whose graph represents the curve.  $x = \sqrt { t }$ $y = 4 - t$ 
A) $y = 4 - x$
B) $y = 4 + x$
C) $y = 4 + x ^ { 2 }$
D) $y = 4 - x ^ { 2 }$
E) $y = \sqrt { x }$

Quizplus · Accepted Answer

To eliminate the parameter $t$, we express $t$ in terms of $x$ and then substitute that expression into the equation for $y$. From $x = \sqrt{t}$, we get $t = x^2$. Substituting $t = x^2$ into $y = 4 - t$ gives $y = 4 - x^2$.

Eliminate the Parameter and Write the Corresponding Rectangular Equation Whose x=tx = \sqrt { t }x=t​

Eliminate the Parameter and Write the Corresponding Rectangular Equation Whose $x = \sqrt { t }$