Consider the image of triangle ABC for the translation (x, y) to (x+4,y-2) what is the ordered pair of C?

The ordered pair for point C is option C. (3, 2).

Step-by-step explanation:

Step 1:

For this translation, (x, y) becomes (x + 4, y - 2).

This means the values of x are added with 4 and the y values are subtracted by 2.

The points of the triangle ABC are A (2, 4), B (2, 1), and C (3, -2).

Step 2:

Now we determine the ordered pairs after translation.

For A (2, 4). So A becomes (6, 2).

For B (2, 1). So B becomes (6, -1).

For C (-1, 0). So C becomes (3, -2).

So the ordered pair of C is (3, -2) which is option C.

answer: plz put a pic in so i can answer it

step-by-step explanation:

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.