sat suite question viewer
Advanced Math
/ Nonlinear functions
Difficulty: Medium
The function is defined by . In the xy-plane, the graph of is the result of shifting the graph of down units. Which equation defines function ?
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Explanation
Choice D is correct. If the graph of is the result of shifting the graph of down units in the xy-plane, the function can be defined by an equation of the form . It’s given that and the graph of is the result of shifting the graph of down units. Substituting for and for in the equation yields .
Choice A is incorrect and may result from conceptual errors.
Choice B is incorrect and may result from conceptual errors.
Choice C is incorrect. This equation defines a function for which the graph of is the result of shifting the graph of up, not down, units.