Quadratics

Hi there 2nd/6th period Algebra and Geometry students. If you are reading this it means that you finished your exponents and factoring summative. I will grade this summative over the next weekend and it will be the first summative for the 3rd 6-weeks.

Now we need to start the final section that will complete the 4th 6-weeks of Algebra: Quadratics. These are the type of graphs that look like a "U." Watch the following videos in order and take your own notes. I have included questions that you should answer as part of your notes for some videos you will watch.

Video #1: Intro to Quadratics

http://www.brightstorm.com/math/algebra/quadratic-equations-and-functions/exploring-quadratic-graphs/

Information to inlcude in your notes:

1. What is a parabola, what shape does it make?
2. What exponent will always be with the x variable in a quadratic equation?
3. What is symmetry?
4. What does the line of symmetry do?
5. What is the parent function of a quadratic equation?

Video #2:
http://www.brightstorm.com/math/algebra/quadratic-equations-and-functions/exploring-quadratic-graphs-problem-2/

Video #3:
http://www.brightstorm.com/math/algebra/quadratic-equations-and-functions/exploring-quadratic-graphs-problem-3/

Video #4: Quadratic equations shifting rules

http://www.brightstorm.com/math/algebra/quadratic-equations-and-functions/vertical-and-horizontal-shifts-of-quadratic-graphs/

As you watch this video following along on your own calculator. You might need to pause the video to take notes or while you work the calculator. Tip: draw pictures in your notes to help you later.

Information to include in your notes:

1. How can you find the vertex using a table? What do you have to look for?
2. How does adding 2 to your parent function of y = x^2 change it? What about subtracting 3?
3. How does adding or substracting a number with x inside the parenthesis affect the graph?
a. y = (x - 2)^2 will move the quadratic graph to the _________________.
b. y = (x + 3)^2 will move the quadratic graph to the _________________.
c. What two directions does the vertex move in the two quadractic equations in #3?
4. If the number is inside the parenthesis it represents a _______________ shift.
If the number is outside the parenthesis it represents a _______________shift.