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:
3
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
4(2x - 31)=36
4×2x-4×31=36
8x-124=36
8x=36+124
8x=160
x=160/8
x=20
Answer:
x = -4
Step-by-step explanation:
The slope of y = 6 is 0, so a line perpendicular would have an undefined slope, and would be horizontal, going through the x axis. Use the x value in the point given. x = -4