When factored completely, the expression 3x2 - 9x + 6 is equivalent to
(1) (3x - 3)(x - 2) (3) 3(x + 1)(x - 2)
(2) (3x + 3)(x - 2) (4) 3(x - 1)(x - 2)

Let's see what the options look like when we multiply the expressions in brackets:

(first, i multiply both parts of the second bracked by the first part of the first bracket, and then the same with the second part of the first bracket:
(1) (3x - 3)(x - 2))

3x2 +6x -3x +6// this is not correct

(2) (3x + 3)(x - 2)

3x2-6x+3x-6//this is not correct

(3)

3(x + 1)(x - 2)
3(x2-2x+x-2)//simplifying:
3(x2-x-2)//multiplying:
3x2-3x-6)
- so this is not correct either
(4) 3(x - 1)(x - 2)
3(x2-2x - x + 2)
3(x2-3x +2)
3x2-9x +6 - well, here is our winner!

3x² - 9x + 6
3(x²) - 3(3x) + 3(2)
3(x² - 3x + 2)
3(x² - 2x - x + 2)
3(x(x) - x(2) - 1(x) + 1(2))
3(x(x - 2) - 1(x - 2))
3(x - 1)(x - 2)

The equation 3x² - 9x + 6 is equivalent to 3(x - 1)(x - 2).

Where the white dots are is where your points should be plotted.a translation is simply just moving something from one place to another. in this case, you would move each plot point of the original shape 2 units up, and 5 units to the left.

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