Find the Coordinates of the Vertex and the Intercepts of the Quadratic

question 68

Multiple Choice

Find the coordinates of the vertex and the intercepts of the quadratic function. When necessary, approximate the
x-intercepts to the nearest tenth.
- $$g ( x ) = 11 x ^ { 2 } + 264 x + 1463$$

• A) \(\mathrm { V } ( 264,1463 ) ; \mathrm { I } ( 0 , - 1463 ) ; ( - 24,0 ) ; ( 24,0 )\)
• B) \(\mathrm { V } ( - 12 , - 121 ) ; \mathrm { I } ( 0,1463 ) ; ( - 15.3,0 ) ; ( - 8.7,0 )\)
• C) \(\mathrm { V } ( 12 , - 121 ) ; \mathrm { I } ( 0 , - 1463 ) ; ( - 23,0 ) ; ( - 1,0 )\)
• D) \(\mathrm { V } ( - 132 , - 121 ) ; \mathrm { I } ( 0,1463 ) ; ( 8.7,0 ) ; ( 15.3,0 )\)

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Definitions:

Range

In statistics, range refers to the difference between the highest and lowest values in a dataset.

Place Theory

A hearing theory that suggests different areas of the cochlea are activated by different frequencies of sound, enabling us to distinguish pitches.

Basilar Membrane

A membrane in the cochlea of the inner ear that plays a key role in the sense of hearing by vibrating in response to sound and facilitating auditory processing.

Lower Frequency

Refers to sounds or waves that have a lower rate of vibration, and thus a deeper pitch or longer wavelength.