4. The graph shows the average number of hours 10 basketball players practiced weekly and the average number of free throws the players made during the season.
y
16
15
14
12
11
10
Average Number of Free Throws
7 8 9 10 11 12 13 14 15 16
Average Hours of Practice
Using the trend line, if another member of the team practiced an average of 14 hours a week, what
is a good prediction of the number of free throws he would make?
H8
F 6
G 10
J 10

so what is the problem what are they asking you to solve

step-by-step explanation:

so what is the problem what are they asking you to solve

answer: (-6,3)

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.