(
−
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
