Chapter 15 Review

Here is a copy of the Chapter 15 Test review.  All material for the chapter has been covered and nothing further will be added.

Here is the key to the review.  

Remember you can find the vertex by either completing the square or using -b/2a to find the x coordinate.  You find the y coordinate by plugging in the x value to the equation.

For interval of increase and decrease, follow the following.

Quadratic function: f(x) = ax² + bx + c 

First we find x-coordinate for vertex: x = -b/(2a) 

If a < 0, then we have a parabola that opens down 

So  the vertex is a maximum point 

Function increases on interval (-∞, -b/(2a)) 

Function decreases on interval (-b/(2a), ∞) 

If a > 0, then we have a parabola that opens up 

So the vertex is a minimum point 

Function decreases on interval (-∞, -b/(2a)) 

Function increases on interval (-b/(2a), ∞)

Remember you can find the vertex by doing -b/2a to find the x coordiante.  Then 

plug in the x value to find the corresponding y value.  Your axis of symmetery is 

x=-b/2a.  

Today we are working on functions written in both vertex and standard form.  There are a lot of elements to identify so the following worksheet should help you with that.  Quiz over sections 1 and 2 will be on Thursday.

Homework is on page 498 5,7,21,23,25.  Locate the vertex and then apply the value of the coefficient in front of x.  

All about Factoring

Factoring, factoring, factoring....if you do page 488 1-12 all, 14-25 all, and 27-32 all, you should be good to go.  if you want to see if you're ready, then look at page 489 1-8 all.   I'll try to add some links later.

Okay....angles associated with circles.   Remember, vertex inside add and take half, vertex outside subtract and take half, vertex on...just take half.  Here is a website with some example problems.

How about simplifying radicals?  If you need help, go here.  If you go there, make sure and check out the second page by clicking the link to "second level" down at the bottom.

Looking for help on complex numbers?  Go here.

Here is a website that might help you with multiplying and dividing complex numbers.  Don't forget to spend some time with angles and segments related to circles.  Remember, vertex inside...add and take half, vertex outside...subtract and take half, vertex on...just take half.  I'll add more in a bit.  Hope the website helps.  This website will be updated repeatedly over the course of the weekend so make sure and check back.

Reviewing for Unit 13

Test for Unit 13 will be on Monday.  Here is a review to start working on.
Test Review