Answer:
M(4, -3)
Step-by-step explanation:
Reflecting over the x-axis is simple:
If the x is positive, the reflection would be negative and vice versa.
In this case, the <em>y </em>isn't affected since it's only reflecting over the x-axis.
So, M is at the coordinates (4, -3)
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:
Scatter Plot 1 : No correlation (0) -
Scatter plot 2: negative Correlation (-1)
Scatter Plot 3: Positive Correlation (+1)
6x^2-x-2 this is of the form ax^2+bx+c
jk=ac=-12 and j+k=b=-1 so j and k must be -4 and 3 so
6x^2+3x-4x-2
3x(2x+1)-2(2x+1)
(3x-2)(2x+1)