Title of Lesson:
Quadratic Functions
Section: 2.1
Pages: 92-102
My Learning Goals
1. Be able to analyze the the components of a
quadratic function.
2. Be able to convert between the different quadratic
forms.
3. Use quadratically modeled functions to solve
minimum/maximum problems.
Vocabulary/Formulas
1. Quadratic function definition:
f(x)= ax +bx+c
2
2. Standard form of a quadratic function:
f(x)= a(x-h) +k
2
3. Axis of symmetry: the line in which all parabolas are
symmetric to.
4.
5.
Prerequisite Skills with Practice
1. Complete the square.
2. Solve for real numbers.
2
f(x) = x +6x -1
0 = 4(x - 3) - 9
f(x)= 2x +5x+ 4
0 = (x - 3) +1
2
2
2
Notes
Dissecting a quadratic
functions in the form
f(x)= ax +bx+c
2
Vertex:
Axis of symmetry:
Concavity:
x – intercept(s):
(factoring or quadratic
formula?)
y – intercept:
f(x)=-x -4x+21
2
Notes
Dissecting a quadratic
functions in the form
f(x)= ax +bx+c
2
Vertex:
Axis of symmetry:
Concavity:
x – intercept(s):
(factoring or quadratic
formula?)
y – intercept:
f(x)= x +8x+11
2
Notes
Building the standard
form of quadratic
function.
Vertex:
Axis of symmetry:
Concavity:
x – intercept(s):
(factoring or quadratic
formula?)
y – intercept:
f(x)= 2x +8x+7
2
f(x)= x +3x-7
2
Notes
Building an equation
based on a vertex and a
point.
Write the standard form
of the equation of the
parabola whose vertex is
(1,2) and goes through the
point (3,-6).
Notes
Using properties of
quadratics to solve
problems.
A baseball is hit point 3
feet above the ground at a
100 feet per second at a
45 degree angle with
respect to the ground.
The path of the baseball is
modeled by the function
h(t)= -0.0032t +t +3
2
where h is height in feet
and t is time in seconds.
Homework
Assignment:
Pg. 99 (1-4) all (7-25) odd
(29-33) odd (53-56) all 65,66