Determine the parent function from which the graph of the function shown below can be obtained. Next identify each transformation that can be applied to the parent function in order to obtain the graph of the function shown below. \(f(x) = 4 \cdot \left(\frac{4}{5}\right)^{x-1} + 3\) a) Choose the correct parent function. \(\circ y = \left(\frac{5}{4}\right)^x\) \(\circ y = \left(\frac{4}{5}\right)^x\) \(\circ y = 4^x\) \(\circ y = \left(\frac{1}{4}\right)^x\) b) Choose the correct transformation (Reflections). Select an answer c) Choose the correct transformation (Stretches/Compressions). Select an answer d) Choose the correct transformation (Vertical Shifts). Select an answer e) Choose the correct transformation (Horizontal Shifts). Select an answer
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The parent function is of the form $y = a^x$, where $a$ is a constant. Comparing the given function with the general form of exponential functions, we can identify the parent function as $y = \left( \frac{4}{5} \right)^x$. Show more…
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