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.
