The parent function of \( f(x) = 3^x \) undergoes several transformations to achieve the final form. First, the term \( -x \) indicates a reflection across the y-axis, transforming the function into \( f(x) = 3^{-x} \), which represents a horizontal flip. The coefficient \( \frac{1}{4} \) in front of the exponential function scales the output vertically by a factor of \( \frac{1}{4} \), compressing the graph towards the x-axis. Lastly, adding 8 results in a vertical shift upwards by 8 units. Thus, the final transformations include a reflection, a vertical compression, and a vertical shift.
Identify all transformations of f(x)=1/4⋅3^5−x+8 from its parent function. In 3–5 sentences, describe the transformations
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