Which statements are true for the equation x2 = −4y? Check all that apply.
2 answers:
Answer:
1, 2 and 5 options are correct.
Step-by-step explanation:
Given:
It is a equation of parabola.
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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When x=-1: 
Ok that gives us a little more information.
If we implicitly differentiate with respect to t, from the very start, then we can apply our product rule, ya?
The right side is zero, derivative of a constant is zero.
Where x' is dx/dt and y' is dy/dt.
From here, plug in all the stuff you know:
y' = -3
x = -1
y = 4
and solve for x'.
Hope that helps!
Ok that gives us a little more information.
If we implicitly differentiate with respect to t, from the very start, then we can apply our product rule, ya?
The right side is zero, derivative of a constant is zero.
Where x' is dx/dt and y' is dy/dt.
From here, plug in all the stuff you know:
y' = -3
x = -1
y = 4
and solve for x'.
Hope that helps!