Given the function f(x)=x^2 and I= -3, which of the following represents a vertical shift
1 answer:
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Answer:
Step-by-step explanation:
<u><em>The options of the question are</em></u>
2(x − 1)2 = 4
2(x − 1)2 = −4
2(x − 2)2 = 4
2(x − 2)2 = −4
we have
This is a vertical parabola open upward
The vertex represent the minimum value
The quadratic equation in vertex form is
where
a is a coefficient
(h,k) is the vertex
so
Convert the quadratic equation in vertex form
Factor 2 leading coefficient
Complete the squares
Rewrite as perfect squares
The vertex is the point (1,-4)
Move the constant to the right side
Answer:
Step-by-step explanation:
For this case in order to select the one admiral, captain and commander, all different. We are assuming that the order in the selection no matter, so we can begin selecting an admiral then a captain and then a commander.
So we have 10C1 ways to select one admiral since we want just one
Now we have remaining 9 people and we have 9C1 ways to select a captain since we want a captain different from the admiral selected first
Now we have remaining 8 people and we have 8C1 ways to select a commander since we want a commander different from the captain selected secondly.
The term nCx (combinatory) is defined as:
And by properties
So then the number of possible way are:
If we select first the captain then the commander and finally the admiral we have tha same way of select
For all the possible selection orders always we will see that we have 720 to select.