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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Answer:
(a)
(b)
(c)
<em>They are not equal</em>
<em></em>
Step-by-step explanation:
Given
Solving (a):
B n C means common elements between B and C;
So:
So:
u means union (without repetition)
So:
Using the illustrations of u and n, we have:
Solve the bracket
Substitute the value of set C
Apply intersection rule
In above:
Solving A u C, we have:
Apply union rule
So:
<u>The equal sets</u>
We have:
So, the equal sets are:
and
They both equal to
So:
Solving (b):
So, we have:
Solve the bracket
Apply intersection rule
Solve the bracket
Apply union rule
Solve each bracket
Apply union rule
<u>The equal set</u>
We have:
So, the equal sets are:
and
They both equal to
So:
Solving (c):
This illustrates difference.
returns the elements in A and not B
Using that illustration, we have:
Solve the bracket
Similarly:
<em>They are not equal</em>