Question

Which direction is the parabola facing and find the axis of symmetry.More than one answer is correct- check all that applyy = -3x^2 -9a. direction- upb. axis of symmetry- y= -9c. direction- rightd. axis of symmetry- y=0E. axis of symmetry- x= -9f. direction- leftg. Axis of symmetry: x=0h. direction- down

Answer 1

g. Axis of symmetry: x = 0

h. direction- down

Step-by-step explanation:

The parabola we are given is

`y=-3x^2-9`

The negative sign in from of x^2 tells us that the parabola opens downward.

Therefore, choice h is a correct answer.

Furthermore, since the parabola is neither shifted to the left nor right (because a = 0 in (x + a)^2 ), it is symmetric with respect to the x-axis. In other words, the axis of symmetry for the parabola is x = 0.

Therefore, choice g is a correct answer.

Our answers can be confirmed by looking at the graph of the parabola.