Suppose you were to create a scatter plot of the data for speed and distance traveled. would you expect to see a positive, negative , or no relationship betwen the two variables. explain your answer.

Positive

Step-by-step explanation:

A scatter plot for speed and distance is created.

We know that distance = speed x time

Hence when speed increases, distance increases and similarly when speed decreases, distance decreases.

Thus if we plot on x axis speed and y axis distance, we find that x increases when y increases.

So we find that there is a strong positive relationship between the two variables

D=tS

where D = distance S= speed and t = time.

Since D varies directly as speed, we have positive relationship.

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this