Write the Standard Form of the Equation of the Parabola $\left( \frac { - 2 } { 3 } , \frac { 1 } { 9 } \right)$

question 26

Multiple Choice

Write the standard form of the equation of the parabola that has a vertex at $\left( \frac { - 2 } { 3 } , \frac { 1 } { 9 } \right)$ and passes through the point $( 3 , - 4 )$ .

• A)
• \[f ( x ) = - \frac { 37 } { 11 } \left( x + \frac { 2 } { 3 } \right) ^ { 2 } + \frac { 1 } { 9 }\]
• B)
• \[f ( x ) = - \frac { 37 } { 121 } \left( x - \frac { 3 } { 2 } \right) ^ { 2 } + \frac { 1 } { 9 }\]
• C)
• \[f ( x ) = - \frac { 37 } { 121 } \left( x + \frac { 2 } { 3 } \right) ^ { 2 } + \frac { 1 } { 9 }\]
• D)
• \[f ( x ) = - \frac { 37 } { 11 } \left( x - \frac { 2 } { 3 } \right) ^ { 2 } - \frac { 1 } { 9 }\]
• E)
• \[f ( x ) = - \frac { 37 } { 25 } \left( x - \frac { 3 } { 2 } \right) ^ { 2 } - \frac { 1 } { 9 }\]

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Definitions:

Coupon Rate

The yearly interest rate a bond issuer pays to its holders, usually shown as a percent of the bond's nominal value.

Par Value

The nominal or face value of a bond, share of stock, or coupon as stated by the issuer, which is not related to its market value.

Moody's

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Junk Bonds

High-risk, high-yield bonds rated below investment grade by credit rating agencies, often issued by companies with poorer credit ratings.