Use a Graphing Calculator to Find the Vertex and Intercepts $$y = x ^ { 2 } - 7.4 x + 7.87$$

question 77

Multiple Choice

Use a graphing calculator to find the vertex and intercepts for the equation. If your answers are not exact, round to the
nearest tenth.
- $$y = x ^ { 2 } - 7.4 x + 7.87$$

• A) \(x\)-intercepts: \(( 1.3,0 )\) and \(( 6.1,0 )\); -intercept: \(( 0,7.87 )\); Vertex: \(( - 7.4,7.9 )\)
• B) x-intercepts: \(( 1.3,0 )\) and \(( 6.1,0 ) ; y\)-intercept: \(( 0,7.87 )\); Vertex: \(( 3.7 , - 5.8 )\)
• C) x-intercepts: \(( 1.3,0 )\) and \(( 6.1,0 ) ; y\)-intercept: \(( 0 , - 7.87 )\); Vertex: \(( 3.7 , - 5.8 )\)
• D) \(x\)-intercepts: none; \(y\)-intercept: \(( 0,7.87 )\); Vertex: \(( 3.7 , - 5.8 )\)

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Definitions:

Standard Deviation

A measure of the amount of variation or dispersion in a set of values, indicating how spread out the data points are from the mean.

Normally Distributed

A distribution where probabilities are mirrored on either side of the mean, illustrating higher frequency of events near the average.

Life Expectancy

The average number of years that an individual or a certain group of individuals is expected to live, based on statistical averages.

Standard Deviation

A statistic that measures the dispersion or variability of a dataset relative to its mean, indicating how spread out the numbers are.