Answer:
Option 3
Step-by-step explanation:
we are given the graph of a parabola
with vertex at (0,-1) and symmetrical about y axis and also open up.
Hence the equation of the graph would be transformation of 
by a vertical shift of 1 unit down.
So new equation after transformation would be

Or
Hence option 3 is right choice.
Verify:
Put Solving the equation we get


In the graph x intercepts are the same as -1 and 1
Hence our answer is right.
Answer:
(A) When the sample size increases, both α and β may decrease.
Step-by-step explanation:
Which of the following is correct?
(A) This option is right.
When a sample's size increases, the values for alpha and beta may decrease; if and only if sample size is the denominator in the slope equation (in each case) and the numerator stays the same (that is, ceteris paribus; all other things being equal). The larger the denominator, the smaller the slope value for alpha and beta.
(B) This option is wrong
Type 2 error can only occur when you fail to reject a true H0
(C) This option is wrong
Type 1 error can only occur if or when you don't reject a false H0
(D) This option is wrong
The level of significance is the probability of a Type 1 error, not the probability of a Type 2 error.
Answer:
13.
parallel: y = 1/3x -3
perpendicular: y = -3x - 3
14.
parallel: y = 4x - 1/2
perpendicular: y = -1/4x - 1/2
15.
parallel: y = -2x + 4
perpendicular: y= 1/2x + 4
16.
parallel: y = -2x-2
perpendicular: y= 1/2x-2
17.
parallel: y = -2x+8
perpendicular: y= 1/2x + 8
Step-by-step explanation:
A perpendicular has a negative reciprocal slope and a parallel has the same slope