Given the function f(x) = x3 + x2 − 2x + 1, what is the resulting function when f(x) is shifted to the left 1 unit? a f(x − 1) = x3 − 2x2 − x + 3 b f(x + 1) = x3 + 4x2 + 3x + 1 c f(x) − 1 = x3 + x2 − 2x d f(x) + 1 = x3 + x2 − 2x + 2

Option B is correct

Step-by-step explanation:

Given:

If a graph is shifted a units to the left then it becomes

Here, the graph is shifted 1 unit to the left . On taking a=1, we get graph

Using formula , we get

Using formula , we get

Using distributive property over multiplication i.e , we get

Therefore,

0 = x+y -2

Step-by-step explanation:

The general form of a line is 0 = Ax + By + C  where A is a positive integer

First write it in slope intercept form

y = mx+b  where m is the slope and b is the y intercept

The slope is

m = (y2-y1)/(x2-x1)  (2,0) and (0,2)

   = (2-0)/(0-2)

   = 2/-2

   = -1

and the y intercept is 2

y = -1x +2

Subtract y from each side

0 = -x -y +2

Multiply by -1

0 = x+y -2