Sketch y = x(4 - x) for x that is equal to or less than 0. Explain in words what happens to the slope of the curve as we move along it from left to right.

2. ## Make a table of values...

Since we are making a graph we can pick any values of x that we wish...

Since they ask us pick pick values less than or equal to zero that is a good place to start.

so lets start with x = 0, x= -1, x = -2, x = -3

$y=x(4-x)$

evaluating at the above values

$y=0(4-0)=0$ gives the point $(0,0)$

$y=-1(4-(-1)=0$ gives the point $(-1,-5)$

$y=-2(4-(-2))=0$ gives the point $(-2,-12)$

$y=-3(4-(-3))=0$ gives the point $(-3,-21)$

if we plot these ordered pairs and connect them with a smooth curve we should be able to answer the question.