By the definition and properties of absolute value, there are two possible resulting functions: (i) g(x) = 5 · |x|, (ii) g(x) = |5 · x|. (Correct choices: B, D)
How to find a resulting function by applying rigid transformations
Herein we must modify a parent function to get a resulting function by the use of rigid transformations, defined as those transformations applied on geometric loci, including functions, such that Euclidean distance is conserved.
Based on the statement seen in the picture, the enlargement of the parent function can be done by a rigid transformation known as dilation, whose definition is shown below:
g(x) = k · f(x), where k is the stretch factor and is greater than 1. (1)
If we know that f(x) = |x| and k = 5, then the resulting function is:
g(x) = 5 · |x| (1)
This expression is also equivalent to the expression g(x) = |5 · x| by definition of absolute value.
By the definition and properties of absolute value, there are two possible resulting functions: (i) g(x) = 5 · |x|, (ii) g(x) = |5 · x|. (Correct choices: B, D)
To learn more on absolute values: https://brainly.com/question/1301718
#SPJ1
