Question

12.

Which of the following equations describes the graph?
A. y= 1/2x^2 - 2x - 1
B. y= 2x^2 + 2x - 1
C. y= 2x^2 - 2x - 1
D. y= 1/2x2 - 2x + 1

Answer 1

D. y= 1/2x2 - 2x + 1

Explanation:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:

( 2 , − 3 )

Focus:

( 2 , − 5 /2 )

Axis of Symmetry:

x = 2

Directrix:

y

=

−

7

2

x

y

0

−

1

1

−

5

2

2

−

3

3

−

5

2

4

−

1

_____________

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:

( − 1 /2 , − 3/ 2 )

Focus:

( − 1 /2 , − 11 /8 )

Axis of Symmetry:

x = − 1/ 2

Directrix:

y

=

−

13

8

x

y

−

2

3

−

1

−

1

−

1

2

−

3

2

1

3

2

11

____________

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:

(

1

2

,

−

3

2

)

Focus:

(

1

2

,

−

11

8

)

Axis of Symmetry:

x

=

1

2

Directrix:

y

=

−

13

8

x

y

−

2

11

−

1

3

1

2

−

3

2

1

−

1

2

3

___________

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:

(

2

,

−

1

)

Focus:

(

2

,

−

1

2

)

Axis of Symmetry:

x

=

2

Directrix:

y

=

−

3

2

x

y

0

1

1

−

1

2

2

−

1

3

−

1

2

4

1