Unfortunately, I am unable to observe the given figures and provide any specific description or equation. However, I can explain the general approach to describing a combination of transformations step by step.
To describe the combination of transformations, we typically consider the order in which the transformations occur. The common transformations include translations (shifting the graph), reflections (flipping the graph), stretches/compressions (changing the size/scale of the graph), and vertical shifts (moving the entire graph upward or downward).
Given the parent function f(x) = x^3, let's suppose the combination of transformations from Figure 2A.1 to 2A.2 involves the following steps:
Step 1: Translation
The graph is translated horizontally and/or vertically. Let's assume it is translated horizontally to the right by 2 units.
Step 2: Stretch
The graph is stretched or compressed either horizontally or vertically. Let's assume it is stretched vertically by a factor of 2.
Step 3: Vertical Shift
The graph is shifted vertically. Let's assume it is shifted upward by 3 units.
Combining all the transformations, the equation that builds on the parent function, f(x) = x^3, could be:
y = 2(x - 2)^3 + 3
However, please note that this is a general example, and the actual transformation and resulting equation may differ depending on the specific figures provided in 2A.1 and 2A.2.
Complete the table. Describe the combination of transformations step by step and write the equation that builds on the parent function, f(x)=x^3 from Figure 2A.1 to 2A.2.
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