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

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

2 Answers

3 votes

Answer:

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.

User Trusk
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3 votes

Answer:

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.


User Ivor Prebeg
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