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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.

Respuesta :

Answer:1,2,5

Step-by-step explanation:

isyllus

Answer:

1, 2 and 5 options are correct.

Step-by-step explanation:

Given: [tex]x^2=-4y[/tex]

It is a equation of parabola.

[tex]x^2=-4py[/tex]

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.

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