Graph the Function Using Its Vertex, Axis of Symmetry, and Intercepts

question 257

Multiple Choice

Graph the function using its vertex, axis of symmetry, and intercepts.
- $f(x) =x^{2}-2 x-8$

• A) vertex \(( 1 , - 9 )\) intercepts \(( 4,0 ) , ( - 2,0 ) , ( 0 , - 8 )\)
• B) vertex \(( 1,9 )\) intercepts \(( 4,0 ) , ( - 2,0 ) , ( 0,8 )\)
• C) vertex \(( - 1,9 )\) intercepts \(( - 4,0 ) , ( 2,0 ) , ( 0,8 )\)
• D) vertex \(( - 1 , - 9 )\) intercepts \(( - 4,0 ) , ( 2,0 ) , ( 0 , - 8 )\)

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Definitions:

Control Limits

Control limits are the boundaries set in statistical process control that indicate the acceptable range of variation for a process, distinguishing between common and special causes of variation.

Control Charts

Statistical tools used in quality control to monitor, control, and improve the process performance over time by plotting data points in time order.

Lower Control Limit

A statistical measure used in process control, representing the lowest acceptable boundary of process variation for quality assurance.

Upper Control Limit

In quality control, it represents the highest value on a control chart that a process variable can reach before it is considered to signal potential loss of control, necessitating investigation.