SOLUTION: https://www.usatestprep.com/modules/gallery/files/23/2384/2384.jpg Choose the correct formula for the function g. A) g(x) = 2x + 3 + 2 B) g(x) = 2x + 3 - 2 C) g(x) = 2x -

Algebra ->  Functions -> SOLUTION: https://www.usatestprep.com/modules/gallery/files/23/2384/2384.jpg Choose the correct formula for the function g. A) g(x) = 2x + 3 + 2 B) g(x) = 2x + 3 - 2 C) g(x) = 2x -       Log On


   



Question 1080611: https://www.usatestprep.com/modules/gallery/files/23/2384/2384.jpg
Choose the correct formula for the function g.
A) g(x) = 2x + 3 + 2
B) g(x) = 2x + 3 - 2
C) g(x) = 2x - 3 + 2
D) g(x) = 2x - 3 - 2

Found 2 solutions by Boreal, MathLover1:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
2^(x-3)+2
This is different from the 2x-3+2, C, but if one uses that as an exponential, then it works. The function is shifted upward 2 units, so only A and C are possible.
The function reaches 3, 1 unit above 2, when x=3. The value of the x raised to a power is 1, which means the power has to be 0. If x=3, than 3 has to be subtracted to make x^(value)=1.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
as I see on your image, parent function is f%28x%29=2%5Ex; so, your answer choices for g%28x%29 are wrong, should be:
A) g%28x%29+=+2%5E%28x+%2B+3%29+%2B+2%09
B) g%28x%29+=+2%5E%28x+%2B+3%29+-+2%09
C) g%28x%29+=+2%5E%28x+-+3%29+%2B+2
D) g%28x%29+=+2%5E%28x+-+3%29+-+2

the graph of f%28x%29=2%5Ex is shifted vertically 2 units horizontally 3 units,there is no compression and no stretch
so, your answer is C) g%28x%29+=+2%5E%28x-3%29+%2B+2+

+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+2%5Ex%2C+2%5E%28x+-+3%29+%2B+2%29+