Graph the Function Using End Behavior, Intercepts and by Completing

question 16

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) = 2x² - 9x + 4

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Definitions:

Dependent Variable

The variable in an experiment that is expected to change in response to manipulations in the independent variable.

Extraneous Variable

A variable that is not of interest in a study but can affect the outcome of the experiment, potentially leading to erroneous conclusions if not controlled.

Control Factors

Variables that are kept constant and unchanging throughout an experiment to ensure that the results are due to the independent variable being tested.

Independent Variable

In an experiment, the variable that is deliberately changed or manipulated to observe its effect on a dependent variable.