January 4, 2012 Happy New Year! Welcome back! Warm-up: Reflection of Trimester 1 1. What grade did you expect to receive for Trimester 1? Did you meet your expectations for the class? How did or didn’t you meet those expectations? 2. What could you do to improve for Tri 2? 3. How could Ms. PD help you meet your PreCalc goals?

Trimester 2 Only two Quiz retakes will be allowed. Conduct grades will be based on your behavior in class – talking during a lesson, sleeping, failing to take notes, doing other assignments, etc. Effort grades will be based on late or missing assignments, getting extra help during lunch or break if needed, asking questions if you do not understand something, etc. You are responsible for all assignments if you are absent from class. This includes field trips and school assemblies. I will only remind you of missing assignments when I hand out progress reports every 2-3 weeks. Bring your graphing calculator to class everyday!

Trimester 1 Final HW due Friday worth 3 HW assignments Copy the problems that you did incorrectly on your final. (All problems with 0 or partial credit) Redo the problems throughout the week and turn it in on Friday. If you need help, come in during break or lunch, but do not wait till Friday to get all your questions answered.

Lesson 2.1 Quadratic Functions A quadratic function is an equation of the form: f(x) = ax 2 + bx + c and in Standard form: f(x) = a(x – h) 2 + k, where a ≠ 0 The graph is U-shaped, called a parabola. y x y x 5 5 The vertex is the lowest (minimum) or highest (maximum) point of the parabola. The axis of symmetry is the line that cuts it in half. The zeros are where the graph intersects the x- axis. Also called the solution or intercepts.

Find the vertex and axis of symmetry when the quadratic is in standard form. Use the rules for transformations to identify the vertex and axis of symmetry. Example 1: Sketch f(x) = -(x – 2) Find the vertex, axis of sym and zeroes. Vertex: Max(2, 3) Axis of Sym: x = 2 y x Use your calculator to find the zeroes: Your turn! Find the vertex, axis of sym, and zeros for: f(x) = (x + 1) (.27, 0), (3.73, 0)

Applying Quadratic Functions The path of a baseball hit by a bat is given by the function f(x) = x 2 + x + 3, where f(x) is the height of the baseball (in feet) and x is the horizontal distance from home plate (in feet). Use your graphing calculator to answer the following: a)What is the height of the ball when it is hit? (Find the height when x = 0) b)What is the maximum height reached by the ball? (Find the y value of the vertex) c) How far does the ball go from home plate? (Use the axis of symmetry as the midpoint)

Applying Quadratic Functions The path of a baseball hit by a bat is given by the function f(x) = x 2 + x + 3, where f(x) is the height of the baseball (in feet) and x is the horizontal distance from home plate (in feet). Use your graphing calculator to answer the following: a)What is the height of the ball when it is hit? (Find the height when x = 0) b)What is the maximum height reached by the ball? (Find the y value of the vertex) c) How far does the ball go from home plate? (Use the axis of symmetry as the midpoint) 3 feet feet 2(156.25) = feet

CW 2.1: Pg. 136 #77-83 If you don’t have a graphing calculator, here are some formulas to help: Axis of Symmetry: To find the vertex, plug in x (the axis of sym) into the function to find the y-value.