Question

Which statements are true for the equation x2 = −4y? Check all that apply.

The axis of symmetry is x = 0.
The focus is at (0, –1).
The parabola opens up.
The parabola opens right.
The value of p = −1.
The equation for the directrix is y = 0.

Answer 1

Answer:1,2,5

Explanation:

Answer 2

1, 2 and 5 options are correct.

Explanation:

Given:
`x^2=-4y`

It is a equation of parabola.

`x^2=-4py`

It is open downward because coefficient of y is negative.

Vertex: (0,0)

Axis of symmetry, x=0 ( x-coordinate of vertex )

4p=-4

p=-1

Thus, Focus: (0,-1)

Equation of directirx: y=1

Hence, The correct options are

The axis of symmetry is x = 0.

The axis of symmetry is x = 0.

The value of p = −1.