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Without graphing the quadratic functions, complete the requested information:

=

−

+

2

5

5.)

f x

( ) 3

x

7

x

1

= −

+ −

2

6.)

g x

( )

x

x

3

4

What is the direction of opening? _______

What is the direction of opening? _______

Is the vertex a max or min? _______

Is the vertex a max or min? _______

2

2

Wider or narrower than y = x

? ___________

Wider or narrower than y = x

? __________

= −

+

−

2

2

8.)

y

0.6

x

4.3

x

9.1

=

−

2

7.)

y

x

11

3

What is the direction of opening? _______

What is the direction of opening? _______

Is the vertex a max or min? _______

Is the vertex a max or min? _______

2

2

Wider or narrower than y = x

? __________

Wider or narrower than y = x

? ___________

2

The parabola y = x

is graphed to the right.

Note its vertex (___, ___) and its width.

You will be asked to compare other parabolas to

this graph.

=

+

+ ): we need to find the vertex first.

2

C. Graphing in STANDARD FORM (

y

ax

bx c

Vertex

Graphing

- list a = ____, b = ____, c = ____

- put the vertex you found in the center of

−

your x-y chart.

b

- find x =

- choose 2 x-values less than and 2 x-values more

2

a

than your vertex.

- plug this x-value into the function (table)

- plug in these x values to get 4 more points.

- this point (___, ___) is the vertex of the parabola

- graph all 5 points

Find the vertex of each parabola. Graph the function and find the requested information

2

9.) f(x)= -x

+ 2x + 3 a = ____, b = ____, c = ____

y

10

9

8

7

6

5

4

3

Vertex: _______

2

1

Max or min? _______

x

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1

1 2 3 4 5 6 7 8 9 10

-1

Direction of opening? _______

-2

-3

Axis of symmetry: ________

-4

-5

2

Compare to the graph of y = x

-6

-7

_________________________

-8

-9

-10

2

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Parent category: Education