Quadratic Functions

Quadratic Functions are very important to mathematics and can be used and represented in many different ways. To express functions mathematicians have developed many different forms in which it is easy to distinguish the vertex and axis of symmetry. One of these forms include vertex form or standard form is y=a(x-h)^2+k. This is very helpful when dealing with quadratic equations and parabolas because (h,k) shows the vertex and a is the axis of symmetry. You can also use the descending form as well as the factored form when you are representing a function.When using quadratic equations the vertex form makes plotting points on the Cartesian plane much simpler. When you plot the points that you have gotten from a quadratic equation it will result in a parabola. These parabolas are very interesting because each side of the parabola mirrors the other making the points on the plot symmetrical.  Overall Quadratic functions make up a very important part of math and can be used to do a variety of different things.

Tessellations

For this blog i will be exploring the idea of why there are only three regular polygons that tessellate. Tessellations are patterns of repeating shapes which fit perfectly together without leaving any gaps or spaces between them. These are very interesting because very few shapes can comply with this set of terms. Only regular squares, triangles and hexagons can make tessellations because these shapes have interior angles that measure up to a number divisible by 360 degrees. This is true because when the interior angle measure divided into 360 degrees you know that the angles will fit together without leaving any space between them therefore forming a tessellation. 

Pascals Triangle

Pascal's triangle is very interesting as well as a very important math concept. The pascal triangle was named after Blaise Pascal a Frenchman, after he came up with a lot of information about this unique configuration of numbers. This triangle helps to expand equations that have higher exponents and make solving those problems much easier. This concept was not first invented by Pascal, even though the name of this triangle makes it seem like he did. Years before pascal came up with the expanded ideas of the pascal triangle, the Chinese had already been using it for a very long time. Though, Pascal did evolve the understanding of the triangle by coming up with more uses and a deeper understanding of it, earning him the title. Pascal's triangle has many different number uses, other than just helping to solve the binomials. When the rows of this triangle are added together they make the numbers 1,2,4,8,16 and 32. When written in this ascending order we can clearly see that each number is multiplied by two. For example, 1(2)=2, 2(2)=4, 4(2)=8 and so on. 

Math Jokes

    Here are some great math jokes and puns. Some of them are very cheesy like the " radius= z and the thickness= a therefore the volume of a pizza is pizza" joke and all are very funny! Hope you enjoy these math jokes!
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