( − 12 , 2 ) ( − 10, 4 ) ( 12 , 4 ) ( − 3 ,4 ) ( − 12 , 16 ) ( − 12 , − 4 )
Explanation:
1: Dividing the function by 2 divides all the y-values by 2 as well. So to get the new point, we will take the y-value ( 4 ) and divide it by 2 to get 2 . Therefore, the new point is ( − 12 , 2 )
2: Subtracting 2 from the input of the function makes all of the x-values increase by 2 (in order to compensate for the subtraction). We will need to add 2 to the x-value ( − 12 ) to get − 10 .
Therefore, the new point is ( − 10 , 4 )
3: Making the input of the function negative will multiply every x-value by − 1 . To get the new point, we will take the x-value (− 12 ) and multiply it by − 1 to get 12 . Therefore, the new point is ( 12 , 4 )
4: Multiplying the input of the function by 4 makes all of the x-values be divided by 4 (in order to compensate for the multiplication). We will need to divide the x-value ( − 12 ) by 4 to get − 3
. Therefore, the new point is − 3 , 4 ) 5: Multiplying the whole function by 4 increases all y-values by a factor of 4 , so the new y-value will be 4 times the original value ( 4 ), or 16 . Therefore, the new pointis (− 12 , 16 ) 6: Multiplying the whole function by − 1 also multiplies every y-value by − 1 , so the new y-value will be − 1 times the original value ( 4 , or − 4 . ) Therefore, the new point is ( −12 , − 4 )
i hope this helps