the answer is A, sorry if you can't read it quite well
F(x) = a(x - h)³ + k
The parent graph is F(x) = x³
k - shifts the parent graph up k-units (or down if it is negative). This is also called a vertical shift.
h - shifts the parent graph to the right h-units (or left if it is negative). This is also called a horizontal shift.
a - stretches the parent graph vertically by a factor of "a"
Additonally, the coordinate (h, k) is the center/vertex of the graph.
P(7,6), Q(1,6), R(4,2)
We have PQ parallel to the x axis. We'll call that the base,
b = 7 - 1 = 6
The altitude is then the y difference h = 6 - 2 = 4
The area is 
Answer: 12 square units
In general we can use the shoelace formula for the area of any polygon given coordinates. We write the points like this:
(7,6), (1,6), (4,2)
(1,6), (4,2), (7,6)
The area is then half the absolute value of the sum of the cross products:
1= 22.08
2= 25704
3= 587
4= 610
Answer:
f(x) = x³ - 5x² - 9x + 45
Step-by-step explanation:
Given x = a, x = b are the zeros of a polynomial, then
(x - a), (x - b) are the factors and f(x) is the product of the factors.
Here the zeros are x = - 3, x = 3 and x = 5, thus
(x + 3), (x - 3) and (x - 5) are the factors and
f(x) = (x + 3)(x - 3)(x - 5) ← expand the first pair of factors using FOIL
= (x² - 9)(x - 5) ← distribute
= x³ - 5x² - 9x + 45
