Quadratic Functions: Graphing and Identifying Key Features, Assignments of Earth science

A table for filling in the coefficients of quadratic functions and matching them with their corresponding graphs. Students are expected to determine the direction of opening, axis of symmetry, vertex, y-intercept, maximum/min value, domain, and range for each function.

Typology: Assignments

2019/2020

Uploaded on 09/29/2020

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Graphing Quadratic Functions All 3 Ways Name: _______________________
Fill in the table. Then match each quadratic function with its appropriate graph.
Use the space under the function on next page to do any work needed.
Quadratic Function
Direction of
Opening
Axis of
Symmetry
Vertex
Y-intercept
Max/Min Value
Domain
Range
( )
221= + โˆ’f x x x
( )
2
36= โˆ’ +f x x x
( ) ( )( )
31= โˆ’ + โˆ’f x x x
( ) ( )
2
138
2
= โˆ’ + +f x x
( ) ( )( )
2 6 8= โˆ’ โˆ’f x x x
( )
2
2 8 5= โˆ’ + +f x x x
( )
2
12
4
= + +f x x x
( ) ( )
2
22= โˆ’ + +f x x
( )
261= โˆ’ โˆ’ +f x x x
( ) ( )( )
2 1 5= โˆ’ + +f x x x
( ) ( )
2
2 4 9= โˆ’ โˆ’f x x
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Graphing Quadratic Functions All 3 Ways Name: _______________________

Fill in the table. Then match each quadratic function with its appropriate graph.

Use the space under the function on next page to do any work needed.

Quadratic Function Direction of

Opening

Axis of

Symmetry

Vertex Y-intercept Max/Min Value Domain Range

f x = x + 4 2 โˆ’ 3

f ( x )= x^2^ + 2 x โˆ’ 1

f ( x )= โˆ’ 3 x^2 + 6 x

f ( x ) = โˆ’( x + 3 )( x โˆ’ 1 )

f x = โˆ’ x + +

f ( x ) = 2 ( x โˆ’ 6 )( x โˆ’ 8 )

f ( x )= โˆ’ 2 x^2 + 8 x + 5

( )^2

f x = x + x +

f x = โˆ’ x + 2 2 + 2

f ( x )= โˆ’ x^2 โˆ’ 6 x + 1

f ( x ) = โˆ’ 2 ( x + 1 )( x + 5 )

2

f x = 2 x โˆ’ 4 โˆ’ 9

f x = x + 4 2 โˆ’ 3 f^ (^ x^ )=^ x^2^^ +^2 x โˆ’^1 f^ (^ x^ )= โˆ’^3 x^2^ +^6 x f^ (^ x^ )^ = โˆ’^ (^ x^ +^3 )(^ x โˆ’^1 )

f x = โˆ’ x + + f^ (^ x )^^ =^2 (^ x^ โˆ’^6 )(^ x โˆ’^8 ) (^ )

f x = โˆ’ 2 x^2 + 8 x + 5

( )^2

f x = x + x +

f x = โˆ’ x + 2 2 + 2 f^ (^ x^ )= โˆ’^ x^2^^ โˆ’^6 x +^1 f^ (^ x^ )^ = โˆ’^2 (^ x^ +^1 )(^ x +^5 )

f x = 2 x โˆ’ 4 2 โˆ’ 9