Reasoning Suppose the base lengths of the square and triangle in the figure are doubled to 12 in., but the height of each polygon remains the same. How is the area of the figure affected?
8 in
- 6 in
A. The area is halved.
B. The area remains the same.
C. The area is doubled.
D. The area is quadrupled.

y -5 = (-1/4)(x + 8)

step-by-step explanation:

r = 78539458390583095803458309458039485093485 or just 3

step-by-step explanation:

the opening of this porabola is facing up

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.