Find the Quadratic Function $f$ Whose Graph Intersects The $x$ -Axis At $( 2,0 )$

question 109

Multiple Choice

Find the quadratic function $f$ whose graph intersects the $x$ -axis at $( 2,0 )$ and $( 3,0 )$ and the $y$ -axis at $( 0 , - 18 )$ .

• A) \(f ( x ) = 3 x ^ { 2 } + 3 x + 9\)
• B) \(f ( x ) = - 3 x ^ { 2 } + 15 x - 18\)
• C) \(f ( x ) = - 3 x ^ { 2 } - 3 x + 6\)
• D) \(f ( x ) = 3 x ^ { 2 } - 3 x - 18\)
• E) \(f ( x ) = 3 x ^ { 2 } - 15 x - 18\)

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Definitions:

Independent Random Samples

Samples selected from a population in such a way that each individual sample is chosen randomly and independently of each other.

Population Means

The average value of a numerical characteristic in a population, representing the central tendency of the population.

Confidence Interval

A confidence interval is a range of values, derived from sample statistics, used to estimate the true value of a population parameter with a certain degree of confidence.

Normally Distributed

Describes a type of continuous probability distribution for a real-valued random variable where the data forms a symmetric, bell-shaped curve about the mean.