ïQuadraticsð

My name is Nichole Burson and I am constructing this web page for a portfolio in my Algebra 2 class. Here is a link to my teachers email dyoung@fayar.net.

Here are some helpful links:

www.purplemath.com/modules/sqrquad.htm

www.easymaths.org/Gr%2011/Algebra/Quadratics.htm

www.library.thinkquest.org/29292/

www.learn.co.uk/default.asp?WCI=Unit&WCU=7868

http;//homepage.mac.com/shelleywalsh/Math%20Articles/ Graphing%20Quadratics.html

http:nrich.maths.org/topic_tree/Algebra/ Polynomials/Quadratics/

www.hyper-ad.com/tutoring/math/ algebra/Quadratic_theory.html

http:library.thinkquest.org/29292/quadratic/2factoring/

http://www.fayar.net/east/teacher.web/math/young/index.html

Equations:

There are 3 quadratic equations and they are:

The standard form: y=ax^2+bx+c

The intercept form: y= a(x-p)(x-q)

The vertex form: y= a(x-h)^2+k

Graphs:

This is a standard quadratic graph. The equation for this graph is y=ax^2+bx+c. For a, b, and c I put a 1 in for the letter.

This represents a intercept graph, which the formula is y=a(x-p)(x-q). In this equation p and q represents where the parabola crosses the x-axis. The formula that I used to get this graph was y= 1 (x-4) (x-5).

This is a display of a vertex graph. For this one I used the formula y=1 (x-3)^2+2. The vertex, highest or lowest part of a parabola, is represented by h and k. I used 3 for h and 2 for k so the vertex would be (3,2).

Solving Problems:

There are many problems that can be worked with quadratics, here is just one. What the problem is; I’m going to give you a graph and you have to give me an equation with at least two of the formulas above. Here goes!!

Here’s your graph now give me at least 2 equations.

Standard: _________

Vertex: ___________

Intercept: __________

(email your results to j_burson@fayar.net )

Real World Applications:

Many people constantly ask the question “When will I use this?”. Now I can’t answer that question but I can show you how we applied it to the real world. Our class did a project called Ball Bounce 1 and 2. For this project we bounced a ball close to a measuring tape finding out how high the ball came on each bounce. Our group then took that information and created parabolas. Here are some pictures from that project. (they have all been taken from and by Mr. Young himself)