We get the value of h and k as 9 and -8
The quadratic function g(x) = a(x - h)^2 + k, if a is not equal to 0,which means that equation has a quadratic value then it is said to be in standard quadratic form.
If a is positive, then the graph opens upwards,
If a is negative, then it opens downwards.
The line of symmetry of the quadratic equation is the vertical line x = h, and the co-ordinate of the point of vertex is (h,k).
We are given the co-ordinate of the vertex point in the question and hence all that is required is to equate it.
Therefore, the values of h and k are 9 and -8 in the given equation in vertex form
You can learn more about quadratic equation in standard form here:
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Disclaimer: the question may be incomplete and hence has been answered accordingly
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Answer:
4x² + 6x + 13
Step-by-step explanation:
Add like terms:
2x + 3x + x + 4x²+3
6x + 4x² + 3
Rearrange to put x² at the front:
4x² + 6x + 13
If this isn't the answer you were looking for, let me know.
Hope this helps!
Answer:
D. 17,15,13,11
Step-by-step explanation:
The expression states that the next term in this sequence is formed by subtracting 2 from the preceding (n-1) result. We know that for n = 1 that f(1) = 17.
f(n) is f(n-1) - 2
so
f(2) = f(1) - 2
f(2) = 17 - 2 or 15
f(3) = f(2) - 2
f(3) = 15 - 2 or 13
f(4) = f(3) - 2
f(4) = 13 - 2 or 11
. . . .
. . . .
. . . .
and so on.
Answer:
B
Step-by-step explanation:
If we plug in 1 into g(x), we get 4. We then plug in g(x) into f(x). When we solve 4², we get 16. Therefore, your answer is B
Answer:
3/2
Step-by-step explanation:
Probability = successes / all events
Odds = successes / failures
P = 3/5, so there are 3 successes out of 5 trials, which means there are 2 failures.
So the odds are 3/2.