Graph the Function Using End Behavior, Intercepts and by Completing

question 91

Essay

Graph the function using end behavior, intercepts and by completing the square to write the function in shifted form. Clearly state the transformations used to obtain the graph, and label the vertex and all intercepts (if they exist). Use the quadratic formula to find the x-intercepts.
f(x) = -x² + 4x - 3

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Definitions:

Relative Frequency

The proportion between how often a specific value appears and the overall count of data points observed.

Midpoint

The middle point of a line segment, exactly equidistant from both ends.

Cumulative Percent Frequency

A measure used in statistics to describe the percentage of data points that fall within a certain category or below a specified value, accumulating from the start of the data set.

Total Number

The aggregate count or sum of all units or elements within a specified set or collection.