Question

8.

For the graph of the function, identify the axis of symmetry, vertex and the formula for the function.


A. Axis of symmetry: x = –1; Vertex: (–1, 0); f(x) = –x2 – 2x – 1


B. Axis of symmetry: x = –1; Vertex: (–1, 0); f(x) = –2x2 – 2x – 1


C. Axis of symmetry: x = –1; Vertex: (–1, –1); f(x) = –x2 – 2x – 1


D. Axis of symmetry: x = –1; Vertex: (–1, 0); f(x) = –x2 – x + 2

Answer 1

The answer is A. Axis of symmetry: x = –1; Vertex: (–1, 0); f(x) = –x2 – 2x – 1 or C. Axis of symmetry: x = –1; Vertex: (–1, –1); f(x) = –x2 – 2x – 1

Explanation:

Vertex:

(−1,0)

Focus:

(−1,−1/4)

Axis of Symmetry:

x

=

−

1

Directrix:

y

=

1

4

x

y

−

3

−

4

−

2

−

1

−

1

0

0

−

1

1

−

4

Vertex:

(

−

1

/2

,

−

1

/2

)

Focus:

(−1/2,−5/8)

Axis of Symmetry:

x

=

−

1

2

Directrix:

y

=

−

3

8

x

y

−

2

−

5

−

1

−

1

−

1

2

−

1

2

1

−

5

2

−

13

Vertex:

(

−

1

,

0

)

Focus:

(

−

1

,

−

1

/4

)

Axis of Symmetry:

x

=

−

1

Directrix:

y

=

1

4

x

y

−

3

−

4

−

2

−

1

−

1

0

0

−

1

1

−

4

Vertex:

(

−

1

/2

,

9

/4

)

Focus:

(

−

1/2

,

2

)

Axis of Symmetry:

x

=

−

1

2

Directrix:

y

=

5

2

x

y

−

2

0

−

1

2

−

1

2

9

4

1

0

2

−

4