When we reflect a point across an axis, the distance between the point and the axis stays the same, but is flipped to the opposite side.
We know that the coordinates of point A are (4,1), the coordinates of point B are (6,3), and the coordinates of point C are (2,4).
In this case, Triangle ABC is a reflection of point A'B'C' across the y-axis.
= reflection across the y-axis
Visit http://www.wikihow.com/Find-the-Area-of-Regular-Polygons it explains how for specific types of polygons
It is possible to calculate mathematically the area under the normal curve between any two values of z.
However, tables/software have been developed to give the areas under the normal curve to the left of particular values of z. The function is the probability of Z<z, or P(Z<z).
The area between two values z1 and z2 (where z2>z1) is therefore
P(Z<z2)-P(Z<z1).
For example, to find the area between z1=1.5, z2=2.5
is
P(Z<2.5)-P(Z<1.5)
=0.99379-0.93319
=0.06060
(above values obtained by software, such as R)
For example, the value P(Z<2.5) can be calculated using
P(Z<2.5)=erf(2.5/sqrt(2))/2+1/2
where erf(x) is a mathematical function that does not have an explicit formula (calculated by summation of series, or tabulated).