The graph shows profits of a company since it was founded, where profits (y) are measured in millions of dollars and time (x) is measured in years.
graph (0,-5)(2,0)(6,4)(10,0)
A. (0,-5)
B. (10,0)
C. (2,0)
is NOT one of the zeros of the quadratic function.
The zeros represent
A. times when the company was losing money
B. times when the company was profitable
C. times when the company was breaking even
9 answers
C. times when the company was breaking even
theres two questions
My apologies for missing that. Let's address each question separately:
1. The point (2,0) is on the graph of the function, so (C) (2,0) is not one of the zeros of the quadratic function.
2. The zeros represent times when the function equals zero, which in this context would correspond to times when the company was breaking even. Therefore, the correct answer is:
C. times when the company was breaking even
1. The point (2,0) is on the graph of the function, so (C) (2,0) is not one of the zeros of the quadratic function.
2. The zeros represent times when the function equals zero, which in this context would correspond to times when the company was breaking even. Therefore, the correct answer is:
C. times when the company was breaking even
The vertex is
A. (6,4)
B. (10,0)
C. (2,0)
A. (6,4)
B. (10,0)
C. (2,0)
To find the vertex of a quadratic function in the form of y = ax^2 + bx + c, you can use the formula for the x-coordinate of the vertex:
x = -b / (2a)
In this case, one way to find the x-coordinate of the vertex is to use the average of the x-coordinates of the two points provided:
(2 + 6) / 2 = 8 / 2 = 4
Since this is a quadratic function, the vertex lies halfway between the two points on the axis of symmetry. We can see from the given coordinate pairs that (6,4) is indeed the vertex of the function.
Therefore, the correct answer is:
A. (6,4)
x = -b / (2a)
In this case, one way to find the x-coordinate of the vertex is to use the average of the x-coordinates of the two points provided:
(2 + 6) / 2 = 8 / 2 = 4
Since this is a quadratic function, the vertex lies halfway between the two points on the axis of symmetry. We can see from the given coordinate pairs that (6,4) is indeed the vertex of the function.
Therefore, the correct answer is:
A. (6,4)
The vertex represents
A. the first year that the company was profitable
B. the last year that the company was profitable
C. the year that the company was the most profitable
A. the first year that the company was profitable
B. the last year that the company was profitable
C. the year that the company was the most profitable
C. the year that the company was the most profitable
The company was breaking even (making as much money as they are spending) or profitable for
A. about 4 years
B. about 8 years
C. about 10 years
A. about 4 years
B. about 8 years
C. about 10 years
The company was breaking even or profitable for about 8 years.
The profits were positive until year 2, then decreased and became negative in year 6, and then increased back to positive in year 10. So, for years 0 to 2 and years 6 to 10, the company was breaking even or profitable, which amounts to about 8 years.
Therefore, the answer is:
B. about 8 years
The profits were positive until year 2, then decreased and became negative in year 6, and then increased back to positive in year 10. So, for years 0 to 2 and years 6 to 10, the company was breaking even or profitable, which amounts to about 8 years.
Therefore, the answer is:
B. about 8 years
1 answer