Eliminate the parameter and write the corresponding rectangular equation whose graph represents the curve. $x = 3 ( t + 1 )$ $y = | t - 3 |$
A) $y = \left| \frac { x } { 4 } - 3 \right|$
B) $y = \left| \frac { x } { 3 } + 4 \right|$
C) $y = | t - 4 |$
D) $$y = \left| \frac { x } { 3 } - 4 \right|$$
E) $$y = | t + 4 |$$

Question

Eliminate the parameter and write the corresponding rectangular equation whose graph represents the curve.​ $x = 3 ( t + 1 )$ $y = | t - 3 |$ ​
A) $y = \left| \frac { x } { 4 } - 3 \right|$
B) $y = \left| \frac { x } { 3 } + 4 \right|$
C) $y = | t - 4 |$
D) $$y = \left| \frac { x } { 3 } - 4 \right|$$
E) $$y = | t + 4 |$$

Quizplus · Accepted Answer

To eliminate the parameter $t$, solve the first equation for $t$: $t = \frac{x}{3} - 1$. Substitute this expression for $t$ in the second equation to get $y = \left| \frac{x}{3} - 1 - 3 \right| = \left| \frac{x}{3} - 4 \right|$.

Eliminate the Parameter and Write the Corresponding Rectangular Equation Whose x=3(t+1)x = 3 ( t + 1 )x=3(t+1)

Eliminate the Parameter and Write the Corresponding Rectangular Equation Whose $x = 3 ( t + 1 )$