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.