Consider,

. Let's say

then the problem reduces to

. (Do you understand this step?)
So then replacing a again with our definition we get,

.
or 
divide both sides by 2
sinΘ = - 
Since the sin ratio is negative then Θ is in third / fourth quadrants
Θ =
(
) =
related acute angle
Θ = ( π +
) = 
or Θ = ( 2π -
) = 
Answer:

Step-by-step explanation:
- For a horizontal compression, we multiply whole numbers greater than 1 in front of
of the given function. - For horizontal expansion, we multiply by the reciprocal of the number for horizontal compression, in front of
of the function.
For example,
If we wanted to <u>horizontally compress</u>
, we would multiply by 4 to get
, and
if we wante to <u>horizontally expand</u>
, we would multiply by
to get 
Since this question asks for horizontal compression, we multiply the
of the function by 4. So the function we need is
. The second choice is correct.
<u>Given</u>
- a = m(2) + 2
- value of a when m = -3
<u>Substitute m with -3</u>
a = -3*2 + 2
a = -6 + 2
a = -4
<u>Answer</u>
The value of a when m = -3 is -4
It’s C that’s the only one that works