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Quadratic Functions
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What is a quadratic function?
a function that can be written in the standard form y = ax
^{2}
+bx+c where a is not equal to 0, and where the highest power is 2
Properties of y = ax
^{2}
+bx+c
a > 0
: graph opens up
a < 0
: graph opens down
IaI > 1
: graph is narrow
IaI < 1
: graph is wide
AOS / X value
: x = -b/2a
Y int
: c
Vertex
: find X value and plug into equation
How do you form Revenue Questions?
R(X) = (original price - X)(original # ppl +ppl expected to comeX)
Standard Form
y = ax
^{2}
+bx+c
Vertex Form
y = a(x - h)
^{2}
+k
Properties of y = a(x-h)
^{2}
+k
a
: width and direction
h
: horizontal shift
k
: vertical shift
Vertex
: (h,k)
AOS
: x = h
Intercept Form
y = a(x - p)(x - q)
Properties of y = a(x - p)(x - q)
X ints
: p and q
AOS / X value
: x = p+q / 2
a
: width and direction
Y int
: (a)(p)(q)
Vertex
: find X value and plug into equation
Change from intercept to standard form
Write function
Multiply using FOIL
Combine like terms
Change from vertex to standard form
Write function
Rewrite (x - h)
^{2 }
--> (x - h)(x - h)
Multiply using FOIL
Combine like terms
Author
sherin6
ID
69012
Card Set
Quadratic Functions
Description
Chapter 4
Updated
2011-02-26T09:09:00Z
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