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

question 76

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

---

Definitions:

Bank's Obligation

The responsibilities and duties a bank owes to its customers, such as safeguarding deposits and honoring withdrawals.

Authorization

The formal permission or power granted to do something or to validate a transaction.

Cashier's Check

A check issued by a bank, drawn on its own funds rather than that of an individual account holder, offering a secure way of payment.

Certified Check

A check for which the issuing bank guarantees the availability of funds by verifying the account balance and then setting aside the check amount for payment.