Step-by-step explanation:
Standard form of a quadratic is f(x) = ax² + bx + c.
To convert to vertex form, the simplest method is to find the x-coordinate of the vertex using h = -b/(2a).
Then, plug back into the equation to find the y-coordinate of the vertex. k = f(h).
Finally, the leading coefficient is the same as the standard form, a.
f(x) = a(x − h)² + k
Another method is to complete the square.
Answer:

Step-by-step explanation:




1 billion is=1,000,000,000
count the zeros since it has only 10's as the factors
9 zeros
the 10=2 times 5
so there are 10 2's and 10 5's so the prime factorization is
2 times 2 times 2 times 2 times 2 times 2 times 2 times 2 times 2 times 2 times 5 times 5 times 5 times 5 times 5 times 5 times 5 times 5 times 5 times 5 or
2^10 times 5^10
In the graph, the constant of proportionality is 40
<h3>Calculating the constant of proportionality</h3>
From the question, we are to determine the constant of proportionality
The constant of proportionality = 
From the graph, a point on the line is (1, 40)
That is,
When x = 1 and y = 40
Thus,
The constant of proportionality = 
Constant of proportionality = 40
Hence, the constant of proportionality is 40
Learn more on Constant of proportionality here: brainly.com/question/11391605
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R(9,0)
S(8,-4)
T(7,4)
V(6,0)