The order of transformation which best describes how to sketch the graph of h(x) = ∛1 - x is: A. Starting with the graph of the basic function y = ∛x, horizontally shift the graph to the left one unit, and then reflect the graph about the y-axis.
<h3>The types of transformation.</h3>
Generally, there are different types of transformation and these include the following:
- Rotation
- Translation
- Dilation
- Reflection
<h3>What is a reflection?</h3>
A reflection can be defined as a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure.
In this context, we can reasonably infer and logically deduce that the order of transformation which best describes how to sketch the graph of h(x) = ∛1 - x is to start by plotting the graph of the basic function y = ∛x, and then horizontally shift the graph of function y = ∛x to the left one unit, and then reflect the graph about the y-axis.
Read more on reflection of graphs here: brainly.com/question/17782705
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Complete Question:
Which of the following order of transformations best describes how to sketch the graph of h(x) = ∛1 - x?
A. Starting with the graph of the basic function y = ∛x, horizontally shift the graph to the left one unit, and then reflect the graph about the y-axis.
B. Starting with the graph of the basic function y = ∛x, vertically shift the graph up one unit, and then reflect the graph about the y-axis.
C. Starting with the graph of the basic function y = ∛x, horizontally shift the graph to the left one unit, and then reflect the graph about the x-axis.
D. Starting with the graph of the basic function y = ∛x, horizontally shift the graph to the right one unit, and then reflect the graph about the y-axis.