Question

F(x)=x^2+3x+2 is shifted 2 units left.the result is g(x). What is g(x)?

Answer 1

Either A or B.

Explanation:

When shifting to the left you are adding to x.

Example: x^2 shifted to the left by 3. (x+3)^2

Answer 2

For this case we have that, by definition of horizontal translation of functions we have to:

We assume h> 0:

To graph
`y = f (x-h),` the graph moves, h units to the right.

To graph
`y = f (x + h)`, the graph moves, h units to the left.

If we have the following function:

`f (x) = x ^ 2 + 3x + 2`and move 2 units to the left, then:

`f (x + 2) = g (x) = (x + 2) ^ 2 + 3 (x + 2) +2`

ANswer:

Option B