Answer:
The vertex is 
Step-by-step explanation:
For a general quadratic function the form is:
For the function
Take common factor 3.
The values of the coefficients for the function within the parenthesis are the following: 
, 
, 
Take the value of b and divide it by 2. Then, the result obtained squares it.
Add and subtract 
![f(x) = 3([x ^ 2 -\frac{4}{3}x +\frac{4}{9}]- 2-\frac{4}{9})](https://tex.z-dn.net/?f=f%28x%29%20%3D%203%28%5Bx%20%5E%202%20-%5Cfrac%7B4%7D%7B3%7Dx%20%2B%5Cfrac%7B4%7D%7B9%7D%5D-%202-%5Cfrac%7B4%7D%7B9%7D%29)
Write the expression of the form
The vertex is
Step-by-step explanation:
The key to solving word problems is in translation: turning word into math
Below is a general approach to most/any word problem
1. Read through the whole question once, without lingering over details, to get some sense of the overall problem
2. identify and label the variables or unknowns in a way that makes it easy to remember what they stand for.
3. translate the problem into one or more equations, sentence by sentence, and be careful of the order in which you translate the terms
4. solve the equation(s)
5. check your work
Answer:
The graph of g is the graph of f shifted down 1 unit.
Step-by-step explanation:
Suppose you have a function y = f(x), you can do these following operations on the function:
Shift up a units: y = f(x) + a
Shift down a units: y = f(x) - a
Shift left a units: y = f(x + a)
Shift right a units: y = f(x - a)
In this problem, we have that:
g(x) = -1 + f(x) = f(x) - 1
So the graph of g is the graph of f shifted down 1 unit.
Answer:
Hello!! The answer is 3
Step-by-step explanation:
15 - 4(3)
15 - 12
3
