Answer: The transformation <u>sin(x)-7</u> results in a vertical shift down.
The transformation <u>sin(x+7)</u> results in a horizontal shift left.
The transformation <u>sin(x)+7</u> results in a vertical shift up.
The transformation <u>sin(x-7)</u> results in a horizontal shift right.
Step-by-step explanation:
Transformation:
If f(x) is a function then
f(x)+k is a vertical shift k units upwards.
f(x)-k is vertical shift k units downwards.
f(x-h) is horizontal shift h units rightwards.
f(x+h) is horizontal shift h units leftwards.
So,
The transformation <u>sin(x)-7</u> results in a vertical shift down.
The transformation <u>sin(x+7)</u> results in a horizontal shift left.
The transformation <u>sin(x)+7</u> results in a vertical shift up.
The transformation <u>sin(x-7)</u> results in a horizontal shift right.
Answer:
-2a³+9a²+45a+6ab²+18b²
Step-by-step explanation:
(a+3)(-2a²+15a+6b²)
Distribute the a:
-2a³+15a²+6ab²
Then distribute the 3:
-6a²+45a+18b²
Now add both of the results together:
-2a³+15a²+6ab²-6a²+45a+18b²
Combine like terms:
-2a³+9a²+45a+6ab²+18b²
If these are the choices:
A. 8m – 38
B. 8m + 7
C. 8m + 31
<span>D. 2m – 38
Solution:
6(2m - 1) - 4(m + 8)
distributive property of multiplication:
6(2m) + 6(-1) -4(m) -4(8)
12m - 6 -4m -32
combine like terms:
12m - 4m - 6 - 32
8m - 38 choice A. </span>
Answer:
x=17
Step-by-step explanation:
6x+1+4x+9=180
Combine like terms
10x+10=180
Subtract 10 on both sides
10x=170
Divide by 10 on both side
x=17
Answer:
niwim nutkiwmroi jtfrekm
Step-by-step explanation: