By direct comparison we conclude that the graph of g(x) is the graph of f(x) compressed vertically and reflected over the x-axis. (Correct choice: C)
How to compare two quadratic functions according to rigid transformations
In this question we must compare two functions in terms of characteristics associated with rigid transformations. Rigid transformations are transformations applied on functions such that Euclidean distance is conserved. Two common operations are shown below:
Stretching
h'(x) = k · h(x) (1)
Where k is the stretch factor, where 0 < k < 1 indicates a contraction and k > 1 indicates a stretch.
Reflection over the x-axis
h'(x) = - h(x) (2)
By direct comparison we conclude that the graph of g(x) is the graph of f(x) compressed vertically and reflected over the x-axis. (Correct choice: C)
To learn more on rigid transformations: https://brainly.com/question/10285343
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