Joel was studying the function f(x) = 2x2– 6x + 4. Please identify the key points. Part A: Direction of opening Part B: Axis of Symmetry Part C: Vertex Part D: Y-intercept Part E: X-intercept

Part A: the parabola opens upwards

Part B:

Part C: The vertex point is

Part D:

Part E: and

Step-by-step explanation:

We have the function:

Where the coefficients are:

a = 2

b = -6

c = 4

Part A:

Here we can see that the leading coefficient of our parabola (a = 2) is positive, so by the definition, the parabola opens upwards.    

Part B:

The axis of the symmetry equation is given by:

Part C:

The vertex is the minimum point of our parabola.

Using the x value founded in Part B we can find f(x)=y.

Therefore, the vertex point is

Part D:

To get the y-intercept we just need to do x = 0.

The y-intercept is (0,4)

Part E:

To get the x-intercept we just need to do y = 0.

The x-intercept is (1,0) and (2,0)

I hope it helps you!

10

step-by-step explanation:

7+3=10

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.