Topics for Written Response (Pick two)

Linear Equations

• Graph lines using various methods
• Write linear equations
• Find and apply slope
• Parallel and Perpendicular line equations
• Find Zeros
• Discuss domain and range

Absolute Value

• Graph absolute value equations (know the parent graph)
• Use transformations...what a, h and k do!
• Find zeros
• Describe details of the graph 9vertex, discuss domain and range)

Quadratic Functions

• Graph
• Describe transformations to the parent function
• Describe details of the graph (vertex, axis of symmetry, max/min, x and y intercepts)
• Discuss domain and range
• Find the zeros

Rational Functions

• Graph
• Describe details of the graph (domain, range, excluded values, asymptotes, etc)
• Describe transformation of the parent functions
• Solve rational equations

Radical Functions

• Graph radical functions
• Describe the details of the graph, domain, range
• Solve radical equations
• Use transformations - be able to discuss

Answer 2 of the following questions.  Make sure you answer the questions you choose completely.  Your answers need to be detailed and clear.         

Question 1:  Given the graph of the function

a.  What is the vertex of the parabola: 

b.  Is this vertex a maximum or minimum value for the function ?

­­­­­­­c.  How do you know that it is a minimum or maximum?

d.  What are the zeros/solutions to the equation ?

e.  Explain how the zeros/solutions can be found by looking at the graph.

f.   Explain how the zeros/solutions can be found without graphing .

Question 2 Solve the equation:  and describe the steps used. (Remember when solving radical equations you must check your solution.)  

Question 3: 

Given the parent graph A:                                                      

a. Write the equation for the function in graph B.

    Explain how you found this equation using transformations.

b.  Give the domain of the function in graph B.

c. Give the range of the function in graph B.

d.  For what intervals is the function in graph B:  Increasing? Decreasing?  

Yay Math! Systems of Equations

http://www.yaymath.org/video.html

Great video's on this website...should provide you with all the information you would need for showing you know how to solve a system of equation by graphing!

Rest of the problems

Factors of 28 whose sum is 11!  

With no = 0, you don't have to continue on...but if it did say x +11x +28 = 0

• (x + 4) = 0
• x = -4
• (x + 7) = 0
• x = -7

Would mean your final solution would then be x = -4 and -7!

Your Final Grade...
  Update your google gradebook (use it as a checklist)

• Chapter Test 

• Classzone (Share through Google Docs...mid term counts as Chapters 1/2 and some of 3)
• USA Testprep  (3 different coded tests)
• Quizzes
• Quizstar - 18 assignements, I will take the top 10 scores
• Presentation on Parent Graphs
• Final Exam
• 15% Matching
• 5% Written Response
• Vocabulary Test 1-3 from Quizstar
• 2 Written Response Questions (Read over your practice....I put it in your shared folder)

Remember, you must pass the final exam and have a total grade that is passing to receive credit.

The rest....CHECK ALL YOUR ANSWERS!

These are problems from the final exam review...

Question 11-27 (some video some Show me's!)

• y = |x| is the red absolute value!
• y = |x + 3| is the blue absolute value....(notice it moves left!)
• y = |x -6| is the green equation (notice it moves right!)
• y = |x| - 5 is the purple equation

Some  of these cover more than just the question on the review!

• 25) Combine youir like terms
• 26) FOIL! 

Final Exam Review (1-10)

Several students have asked for answers to the review...here are a few that I have already started.

Parent Graphs!

Parent Graphs!  

• Use this graphing Calculator...save the images and then upload them to your presentation...
• http://www.meta-calculator.com/online/  (choose graphing calculator)
• If you need an equation...use this equation editor...download the image and then upload it to your presentation
•   Launch CodeCogs Equation Editor (click the link to goto the page and then find this link again and launch the editor, save the image...upload it to your presentation!)
• y = x
• Linear Equation
• y = x²
• ^{Quadratic Equation}
• y = x³
• ^{Cubic Equation}
• y = 2^x
• ^{Exponential Growth}
• ^{y = (1/2)x}
• Exponential Decay
• y = sqrt(x)
• Square Root
• y = 1/x
• Rational Expressions
• y = |x|
• Absolute Value

Create a t-chart for every graph and create a image for every graph!  Save the images and load them up to your presentation.  Make it your own!  Put other images (backgrounds, examples, etc) into your presentation as well!

If you need to start over, email me at rthill3@gmail.com and I can share it with you!

Pause the video in the lower left hand corner of the slideshow...Play the video too!!!

Saturday Morning!

Saturday morning....8:00-11:30!  I will be at Parkview and will be there to assist on solving the final exam review!  Just come...you don't have to let me know you are coming...we will just sit there and work!

AWESOME

Math HTML!

Turns out it is a little easier to use good math symbols....

Where you need to put a x²

• <p>This text is <sup>superscripted!</sup></p>
  or use the link above...don't forget to press html above instead of Compose

Here is normal

• This text is ^{superscripted!}

Other good code!

Once you have it once on a page...just copy and paste from then on....

x2  

Linear Equations

Slope Intercept form

• y = mx + b

If you solve an equation for y, it is in slope intercept form!  The number that is in the place of b is the y intercept.  The number in the place of m (the coefficient of x) is the slope!

• positive slope - the line goes up and to the right (or down and left)
• negative slope - the line goes up and to the left (or up and right)

Using Intercepts

• To find x and y intercepts...do this  
• To find the x intercept, make y zero and solve the resulting equation for x
• when you get and answer...lets call it a.  Then the x intercept is (a, 0)
• To find the y intercept, make x zero and solve the resulting equation for y
• when you get and answer...lets call it b.  Then the y intercept is (0, b)

These two points (a,0) and (0,b) can then be used to graph the line!

Methods for finding slope

• Formula
• Solve an equation for y (put it in slope intercept form...y = mx + b)
• Ax + By = C is standard form....slope is -A/B!

Parallel and Perpendicular lines

• Parallel lines...same slope
• Perpendicular lines negative reciprocal slope

Finding the zeros

• Set the equation up equal to zero and solve...the resulting x value is called the zero.
• Usually the equations will be written using function notation
• y = 3x + 7 (linear notation...because of the y =)
• f(x) = 3x + 7 (function notation...because f(x) replaces y =)
• to find the zero...3x + 7 = 0, solve for x...x = -7/3
• -7/3 is called the zero, or root, solution and x intercept...it all means the same thing!  Like saying "hello" in different languages!

Domain and Range
  Relation is a set of ordered pairs

• Domain is the set of all x values of a relation
• Range is the set of all y values of a relation

• you can describe the domain by using inequalities x > -3
• y approaches +∞ (this is a neat use of using html code to get the symbol...read my post above)