Question

Graph y= -x2 - 1. Identify the vertex of the graph. Tell whether it is a minimum or maximum.

A. (–1, 0); minimum

B. (0, –1); maximum

C. (0, –1); minimum

D. (–1, 0); maximum

Answer 1

B. (0, –1); maximum

Explanation:

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

Direction: Opens Down

Vertex:

( 0 , − 1 )

Focus:

( 0 , − 5 /4 )

Axis of Symmetry:

x

=

0

Directrix:

y

=

−

3

4

x

y

−

2

−

5

−

1

−

2

0

−

1

1

−

2

2

−

5

Use the formula

x

=

−

b

2

a

to find the maximum and minimum.

( 0 , − 1 )