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The function f(x) = 2|x – 2| + 6 has a vertex at (2, 6) option second is correct.
<h3>What is a function?</h3>It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function that has vertex at (2, 6)
The options are:
f(x) = 2|x – 2| – 6
f(x) = 2|x – 2| + 6
f(x) = 2|x + 2| + 6
f(x) = 2|x + 2| – 6
As we know the vertex form of a quadratic function is given by:
f(x) = a(x - h)² + k
Similarly, mod function can be expressed as:
m(x) = a|x - h| + k
Here (h, k) is the vertex of a function.
In the function:
f(x) = 2|x – 2| + 6
The vertex of the function is (2, 6)
Thus, the function f(x) = 2|x – 2| + 6 has a vertex at (2, 6) option second is correct.
Learn more about the function here:
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First, we need the probability of picking an odd number.
There are 5 cards in total, and 3 odd cards (3, 5, and 7).
That means that the probability that we'll draw an odd card would be .
Then, we have 4 cards left, and 2 even cards (4 and 6), meaning that the probability that we draw an even card will be or
.
To find the probability that these would happen in consecutive draws, we just multiply the probabilities together.
or 0.3.
To convert this into a percentage, we multiply the decimal by 100.
.
So the probability of picking an odd number and then picking an even number is 30%.
Hope this helps!
