Answer: The second choice: h(x) = (f(x))(g(x))
Step-by-step explanation:
f(x) = -15
g(x) = 15
h(x) = -225
-15 * 15 = -225
Therefore, h(x) is the distribution of f(x) and g(x).
Step 1. Simplify 1/3x to x/3
-x/3 > 5
Step 2. Multiply both sides by 3
-x > 5 * 3
Step 3. Simplify 5 * 3 to 15
-x > 15
Step 4. Multiply both sides by -1
x < -15
Your answer is A.
The standard form of a quadratic equation is

, while the vertex form is:

, where (h, k) is the vertex of the parabola.
What we want is to write

as

First, we note that all the three terms have a factor of 3, so we factorize it and write:

.
Second, we notice that

are the terms produced by

, without the 9. So we can write:

, and substituting in

we have:
![\displaystyle{ y=3(x^2-6x-2)=3[(x-3)^2-9-2]=3[(x-3)^2-11]](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%20y%3D3%28x%5E2-6x-2%29%3D3%5B%28x-3%29%5E2-9-2%5D%3D3%5B%28x-3%29%5E2-11%5D)
.
Finally, distributing 3 over the two terms in the brackets we have:
![y=3[x-3]^2-33](https://tex.z-dn.net/?f=y%3D3%5Bx-3%5D%5E2-33)
.
Answer:
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