Which graph is an example of a function whose parent graph is of the form y = βx?
Question
Answer:
Answer:The correct option is 1.Step-by-step explanation:The given parent function is[tex]y=\sqrt{x}[/tex]1. Domain of the function is all positive real number including 0.2. Range of the function is all positive real number including 0.3. It is an increasing function. It increases at decreasing rate.First graph increase at decreasing rate and it starts from (-4,-1), therefore the required function is[tex]y=\sqrt{x+4}-1[/tex]Therefore graph 1 is an example of a function whose parent graph is of the form y = βx.Second graph is a parabola, so it is the graph of a quadratic function.Third graph is a rectangular hyperbola, so it is the graph of a rational functions.Fourth graph is increasing at increasing rate, so it is the graph of an exponential function.Therefore options 2, 3 and 4 are incorrect.
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