Answer:
(x+1)(x+2)
Step-by-step explanation:
x^2 + 3x + 2
find what multiples to 2 and adds to 3
Factors of 2 are 1 and 2, 2 + 1 = 3.
so the binomial would be (x+1)(x+2)
and then you would need to do FOIL to check
First: x * x = x^2
Outer: x * 2 = 2x
Inner: x * 1 = x
Last: 1 * 2 = 2
Then simplify: x^2 + 2x + x + 2
x^2 + 3x + 2
Its .03311258 if you wanna round its about .33
It's the first choice above. The center of the circle of the first choice is (-2, 6). In order to get from there to the center, you have to go right 2 and down 6, which are your given translations. None of the other translations bring the given centers to the origin. For example, the center of the second circle is (1, -2). In order to get from there to the center you have to go left 1 and up 2, but the translations they give are left 2 and DOWN 2, which is incorrect if you want to get to the origin. The only correct one is the first one.
