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

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

We assume h> 0:

To graph the graph moves, h units to the right.

To graph, the graph moves, h units to the left.

If we have the following function:

and move 2 units to the left, then:

Option B

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4