48 points and the first answer is brainliest!
an object is launched upwards from an initial height of 4 feet above ground, with an initial velocity of 48 feet per second. if the object's position at time x is given by
f(x) = −16x^2 + vt + s, where v is initial velocity and s is initial height, which equation can be used to find the maximum height of the object after x seconds?
a) f(x) = −16(x − 3)^2 + 40
b) f(x) = −16(x − 1.5)^2 + 40
c) f(x) = −16(x − 1.5)^2 + 20
d) f(x) = −16(x − 1.5)^2 + 32

B)  f(x) =  -16(x - 1.5)² + 40

Step-by-step explanation:

The equation we have is: h(t) = -16x² + 48x + 4

The answers are all in vertex form, so we need to covert this equation into vertex form by completing the square.

Step 1:  factor out -16 from the first 2 terms...

-16(x² - 3x) + 4    

Step 2:  complete the square on this term...

-16(x² - 3x + (3/2)² - (3/2)²)

    -16(x² - 3x + (3/2)²) + 4 + 16(3/2)²

        -16(x - 3/2)² + 4 + 16(9/4)

             -16(x - 1.5)² + 4 + 4(9)

                   -16(x - 1.5)² + 40

So f(x) =  -16(x - 1.5)² + 40

its b i took the test

Step-by-step explanation:

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.