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glawson2
19.06.2020 •
Mathematics
The x-values in the table for f(x) were multiplied by -1 to create the table for
g(x). What is the relationship between the graphs of the two functions?
g(x)
у
х
y
х
-2
-31
-31
2
1
-1
0
0
1
2
-1
N
2
33
-2
33
O A. The graphs are not related.
B. They are reflections of each other across the x-axis.
C. They are reflections of each other over the line x = y.
OD. They are reflections of each other across the y-axis.
Solved
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Ответ:
Step-by-step explanation:
For the first table, to find y, we have to substitute each value of x into the equation.
y = - 3 + 3 = 0 so -3 is going to have the y value as 0
y = -2 + 3 = 1 so -2 is going to have the y value as 1
y = -1 + 3 = 2 so -1 is going to have the y value as 2
y = 0 + 3 = 3 so 0 is going to have the y value as 3
y = 1 + 3 = 4 so 1 is going to have the y value as 4
y = 2 + 3 = 5 so 2 is going to have the y value as 5.
For the next table:
y = 2(-3) + 1 = -5 so -3 is going to have the y value as -5
y = 2(-2) + 1 = -3 so -2 is going to have the y value as -3
y = 2(-1) + 1 = -1 so -1 is going to have the y value as -1
y = 2(0) + 1= 1 so 0 is going to have the y value as 1
y = 2(1) + 1 = 3 so 1 is going to have the y value as 3
y = 2(2) + 1 = 5 so 2 is going to have the y value as 5
For the next table:
y = 2(-3) - 3 = -9 so -3 is going to have the y value as -9
y = 2(-2) - 3 = -7 so -2 is going to have the y value as -7
y = 2(-1) - 3 = -5 so -1 is going to have the y value as -5
y = 2(0) - 3 = -3 so 0 is going to have the y value as -3
y = 2(1) - 3 = -1 so 1 is going to have the y value as -1
y = 2(2) - 3 = 1 so 2 is going to have the y value as 1