Find a Rectangular Equation for the Plane Curve Defined by the Parametric

question 127

Multiple Choice

Find a rectangular equation for the plane curve defined by the parametric equations.
- $$x = 2 t - 1 , y = t ^ { 2 } + 4 ; - 4 \leq t \leq 4$$

• A) \(y = - \frac { 1 } { 2 } x + 30\); for \(x\) in \(- 6 \leq x \leq 4\)
• B) \(y = \frac { 1 } { 2 } x ^ { 2 } + 1 ;\) for \(x\) in \(- 6 \leq x \leq 4\)
• C) \(\mathrm { y } = \mathrm { x } ^ { 2 } + 1 ;\) for \(\mathrm { x }\) in \(- 2 \leq \mathrm { x } \leq 2\)
• D) \(y = \frac { 1 } { 4 } x ^ { 2 } + \frac { 1 } { 2 } x + \frac { 17 } { 4 } ;\) for \(x\) in \(- 9 \leq x \leq 7\)

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