below are the functions of Y=|x| and y=|x| -9 how are the functions related
the 2nd is just the first, shifted down 9
That is, subtracting 9 from the y-values moves the graph downwards. Try it.
Algebra 1 A, Part 2: Graphing Absolute Value Functions (Connexus)
Answers:
D
C
A
B
D
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ANONYMOUS is 100% correct thx
The functions Y=|x| and y=|x| -9 are related in terms of a vertical shift.
The function Y=|x| represents the absolute value of x, which means that for any positive value of x, the output (y) will be the same as x. For negative values of x, the output will be the positive equivalent of x. This function forms a V-shape, symmetric with respect to the y-axis.
On the other hand, the function y=|x| - 9 represents the absolute value of x minus 9. In this case, the whole graph is shifted vertically downwards by 9 units compared to the original Y=|x| function.
To visualize this relationship, you can plot both functions on the same coordinate plane, starting with Y=|x|. Then, to obtain the second function, shift the entire graph vertically downwards by 9 units. This results in the graph of y=|x| - 9, which will be parallel to the original graph but lower in position by 9 units.