What are the coordinates of vertex J of the pre-image? (0, -4) (0, -1) (0, 0) (0, 4)

(0,-4)

Step-by-step explanation:

The complete question is

Quadrilateral JKLM was dilated according to the rule    

DO,1/2 (x,y)( 1/2x1/2y) to create the image quadrilateral J'K'L'M', which is shown on the graph.

What are the coordinates of vertex J of the pre-image?

The picture in the attached figure

we know that

The rule of the dilation is

(x,y) -----> (1/2x,1/2y)

The coordinates of vertex J' are (0,-2) ----> see the graph

therefore

The x-coordinate of J (pre-image) multiplied by 1/2 must be equal to the x-coordinate of J' (image)

----->

The y-coordinate of J (pre-image) multiplied by 1/2 must be equal to the y-coordinate of J' (image)

----->

therefore

The coordinates of J are (0,-4)

what is all that apply?

introduction, methodology, results, discussion

step-by-step explanation:

an observational study is one which consists of actual observation to record data and then analyse the data.

there are a number of factors that should be analyzed before starting an observational study.

the main four factors are:

i) introduction:   this should be analysed to check whether the purpose of the study is correctly established and the data recorded are appropriate for the study

methodology:   the method of collecting the data, such as whether randomly selected, and whether sample size matches with the population to be studied, whether questions asked are easy to answer by common men, etc.

results: then results such as summary of data with comments should be studied thoroughly

discussion:   the last is the discussion, this can be either by management people or persons who are all interested , etc.