Answer:
The equation of the parabola is 
, whose real vertex is 
, not 
.
Step-by-step explanation:
A parabola is a second order polynomial. By Fundamental Theorem of Algebra we know that a second order polynomial can be formed when three distinct points are known. From statement we have the following information:
, 
, 
From definition of second order polynomial and the three points described above, we have the following system of linear equations:
(1)
(2)
(3)
The solution of this system is: 
, 
, . Hence, the equation of the parabola is . Lastly, we must check if belongs to the function. If we know that 
, then the value of 
is:
does not belong to the function, the real point is .
Answer:
Distance between objects in space or size of microscopic objects.
Step-by-step explanation:
There will be 17 quarters in the bag (12 which are state and 5 which are regular). The probability of the state quarters picked on the first try would be 12/17 while the probability of the second will be 5/17. If Rees put the state quarter back in the jar, then probability that the second quarter will be a regular quarter will remain 5/17.
The graph of any quadratic equation y=ax2+bx+c y = a x 2 + b x + c , where a, b, and c are real numbers and a≠0 a ≠ 0 , is called a parabola. When graphing parabolas, find the vertex and y-intercept. ... This y-value is a maximum if the parabola opens downward, and it is a minimum if the parabola opens upward.
Vertex: (−1, 3)
Y-intercept: (0, 5)
X-intercepts: None
Extra points: (−3, 11), (−2, 5), (1, 11)
