Hey guys, could someone please give me some advice as how to go about creating a graph for P = 85X - X^2 - 550,
Thank you.
Let's re-arrange the equation a little to look like this:
$\displaystyle P = - X^2 + 85X - 550$
From the $\displaystyle - X^2$ term, we can tell 2 things. The squared tells you that it is a parabola. The negative sign tells you that it opens downward.
Next, the easiest thing to do is find the y-intercept. Let X = 0 and you'll get the point that the graph intersects the y-axis.
Since this is in the high school help forum, I would assume you know the quadratic formula, so use that to solve for the x-intercepts.
Then you can simply connect the 3 points with a smooth curve (where your y-intercept is your maximum point) and you'll have your curve.