Question

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

Answer 1

Answer:

Options 3 & 4

Step-by-step 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.

Answer 2

Answer:

3 and 4

Step-by-step 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.