The quadratic function f(x) has a vertex at (9, 8) and opens upward. If g(x) = 4(x − 8)2 + 9, which statement is true?
1 answer:
ANSWER
D.
The minimum value of g(x) is greater than the minimum value of f(x).
EXPLANATION
It was given that;
has a vertex at
and opens upwards.
This means that f(x) is a minimum graph and hence have a minimum value of 8.
Also ,
When we compare this function to
We can see that,a=4, h=8 and y=9.
The vertex is
Since a>0, the graph opens upwards.
The graph has a minimum point which is (8,9) and hence the minimum value is 9.
We can see that, the minimum value of g(x) is greater than the minimum value of f(x).
Therefore the correct answer is D.
D.
The minimum value of g(x) is greater than the minimum value of f(x).
EXPLANATION
It was given that;
has a vertex at
and opens upwards.
This means that f(x) is a minimum graph and hence have a minimum value of 8.
Also ,
When we compare this function to
We can see that,a=4, h=8 and y=9.
The vertex is
Since a>0, the graph opens upwards.
The graph has a minimum point which is (8,9) and hence the minimum value is 9.
We can see that, the minimum value of g(x) is greater than the minimum value of f(x).
Therefore the correct answer is D.
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In this question, the profit of the restaurant after t months is given by a polynomial function. To find when it begins to show a profit, we find the numerical values of the function for t, and it shows a profit when
Profit after t months:
0 months:
This is P(0). So
1 month:
This is P(1). So
2 months:
This is P(2). So
3 months:
This is P(3). So
4 months:
This is P(4). So
5 months:
This is P(5). So
6 months:
This is P(6). So
7 months:
This is `P(7). So
After 7 months it shows profit, so it starts showing profit on the 6th month, and thus, the correct answer is given by option D.
For another example of a function involving numeric value, you can check brainly.com/question/24231879