Question

HELP!!!!!!!!!!!!!!! I think its option 1 and 4 but I cant tell!

Answer 1

3 and 4

Explanation:

We apply 2 transformations here.

f(x) ----> f(x + a) - this is a shift of a units to the left.

f(x) ---- > f(x) + a - this is a shift of a units vertically up.

x - 1 ----> x + 2 shifts it 3 units to the left.

3 ---->5 shifts it 2 units up.

Answer 2

Options 3 & 4

Explanation:

Recall, an exponential function has the basic form

`y=ab^(x+h)+k`.

• a produces a vertical stretch or shrink
• b is the rate
• x is the input value
• h shifts the function left and right opposite to the sign of it
• k shifts the function up and down

Thus
`f(x)=2^(x-1) +3` is shifted to the right 1 unit and up 3 units.\\

This means that
`g(x)=2^(x+2)+5` is shifted to the left 2 units and up five units.

Remember it had already been shifted up 3 so, moving up to 5 is a movement of 2 units. Option 3 is correct.

Also, remember the function started 1 unit to the right and then shifted left to 2. This would be 1--2=3 units in total were shift from f(x) to g(x). This makes Option 4 correct too.